5(y+2)-2=2(y+1)-5

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Solution for 5(y+2)-2=2(y+1)-5 equation: 


Simplifying
5(y + 2) + -2 = 2(y + 1) + -5

Reorder the terms:
5(2 + y) + -2 = 2(y + 1) + -5
(2 * 5 + y * 5) + -2 = 2(y + 1) + -5
(10 + 5y) + -2 = 2(y + 1) + -5

Reorder the terms:
10 + -2 + 5y = 2(y + 1) + -5

Combine like terms: 10 + -2 = 8
8 + 5y = 2(y + 1) + -5

Reorder the terms:
8 + 5y = 2(1 + y) + -5
8 + 5y = (1 * 2 + y * 2) + -5
8 + 5y = (2 + 2y) + -5

Reorder the terms:
8 + 5y = 2 + -5 + 2y

Combine like terms: 2 + -5 = -3
8 + 5y = -3 + 2y

Solving
8 + 5y = -3 + 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.
8 + 5y + -2y = -3 + 2y + -2y

Combine like terms: 5y + -2y = 3y
8 + 3y = -3 + 2y + -2y

Combine like terms: 2y + -2y = 0
8 + 3y = -3 + 0
8 + 3y = -3

Add '-8' to each side of the equation.
8 + -8 + 3y = -3 + -8

Combine like terms: 8 + -8 = 0
0 + 3y = -3 + -8
3y = -3 + -8

Combine like terms: -3 + -8 = -11
3y = -11

Divide each side by '3'.
y = -3.666666667

Simplifying
y = -3.666666667

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