3(y-5)=2y+7

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Solution for 3(y-5)=2y+7 equation: 


Simplifying
3(y + -5) = 2y + 7

Reorder the terms:
3(-5 + y) = 2y + 7
(-5 * 3 + y * 3) = 2y + 7
(-15 + 3y) = 2y + 7

Reorder the terms:
-15 + 3y = 7 + 2y

Solving
-15 + 3y = 7 + 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 = 7 + 2y + -2y

Combine like terms: 3y + -2y = 1y
-15 + 1y = 7 + 2y + -2y

Combine like terms: 2y + -2y = 0
-15 + 1y = 7 + 0
-15 + 1y = 7

Add '15' to each side of the equation.
-15 + 15 + 1y = 7 + 15

Combine like terms: -15 + 15 = 0
0 + 1y = 7 + 15
1y = 7 + 15

Combine like terms: 7 + 15 = 22
1y = 22

Divide each side by '1'.
y = 22

Simplifying
y = 22

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