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

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


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

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

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

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

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

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

Combine like terms: -6 + 2 = -4
9 + 2y = -4 + 3y

Solving
9 + 2y = -4 + 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.
9 + 2y + -3y = -4 + 3y + -3y

Combine like terms: 2y + -3y = -1y
9 + -1y = -4 + 3y + -3y

Combine like terms: 3y + -3y = 0
9 + -1y = -4 + 0
9 + -1y = -4

Add '-9' to each side of the equation.
9 + -9 + -1y = -4 + -9

Combine like terms: 9 + -9 = 0
0 + -1y = -4 + -9
-1y = -4 + -9

Combine like terms: -4 + -9 = -13
-1y = -13

Divide each side by '-1'.
y = 13

Simplifying
y = 13

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