2(3y+5)+y=3 what are the steps to solving this?

Step-by-step explanation: Simplifying

2(3y + -5) + -2 = 3(y + -3)

Reorder the terms:

2(-5 + 3y) + -2 = 3(y + -3)

(-5 * 2 + 3y * 2) + -2 = 3(y + -3)

(-10 + 6y) + -2 = 3(y + -3)

Reorder the terms:

-10 + -2 + 6y = 3(y + -3)

Combine like terms: -10 + -2 = -12

-12 + 6y = 3(y + -3)

Reorder the terms:

-12 + 6y = 3(-3 + y)

-12 + 6y = (-3 * 3 + y * 3)

-12 + 6y = (-9 + 3y)

Solving

-12 + 6y = -9 + 3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3y' to each side of the equation.

-12 + 6y + -3y = -9 + 3y + -3y

Combine like terms: 6y + -3y = 3y

-12 + 3y = -9 + 3y + -3y

Combine like terms: 3y + -3y = 0

-12 + 3y = -9 + 0

-12 + 3y = -9

Add '12' to each side of the equation.

-12 + 12 + 3y = -9 + 12

Combine like terms: -12 + 12 = 0

0 + 3y = -9 + 12

3y = -9 + 12

Combine like terms: -9 + 12 = 3

3y = 3

Divide each side by '3'.

y = 1

Simplifying

y = 1

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

6 spoons of sugar for every 21 cups of flour

step-by-step explanation: