2(y+1)+7=3(y-2)+2y

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Solution for 2(y+1)+7=3(y-2)+2y equation: 


Simplifying
2(y + 1) + 7 = 3(y + -2) + 2y

Reorder the terms:
2(1 + y) + 7 = 3(y + -2) + 2y
(1 * 2 + y * 2) + 7 = 3(y + -2) + 2y
(2 + 2y) + 7 = 3(y + -2) + 2y

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

Combine like terms: 2 + 7 = 9
9 + 2y = 3(y + -2) + 2y

Reorder the terms:
9 + 2y = 3(-2 + y) + 2y
9 + 2y = (-2 * 3 + y * 3) + 2y
9 + 2y = (-6 + 3y) + 2y

Combine like terms: 3y + 2y = 5y
9 + 2y = -6 + 5y

Solving
9 + 2y = -6 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
9 + 2y + -5y = -6 + 5y + -5y

Combine like terms: 2y + -5y = -3y
9 + -3y = -6 + 5y + -5y

Combine like terms: 5y + -5y = 0
9 + -3y = -6 + 0
9 + -3y = -6

Add '-9' to each side of the equation.
9 + -9 + -3y = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -3y = -6 + -9
-3y = -6 + -9

Combine like terms: -6 + -9 = -15
-3y = -15

Divide each side by '-3'.
y = 5

Simplifying
y = 5

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