3(y-5)=2y+2

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Solution for 3(y-5)=2y+2 equation: 


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

Reorder the terms:
3(-5 + y) = 2y + 2
(-5 * 3 + y * 3) = 2y + 2
(-15 + 3y) = 2y + 2

Reorder the terms:
-15 + 3y = 2 + 2y

Solving
-15 + 3y = 2 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-15 + 3y + -2y = 2 + 2y + -2y

Combine like terms: 3y + -2y = 1y
-15 + 1y = 2 + 2y + -2y

Combine like terms: 2y + -2y = 0
-15 + 1y = 2 + 0
-15 + 1y = 2

Add '15' to each side of the equation.
-15 + 15 + 1y = 2 + 15

Combine like terms: -15 + 15 = 0
0 + 1y = 2 + 15
1y = 2 + 15

Combine like terms: 2 + 15 = 17
1y = 17

Divide each side by '1'.
y = 17

Simplifying
y = 17

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