2y+2(y-8)=5(y+2)-3

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Solution for 2y+2(y-8)=5(y+2)-3 equation: 


Simplifying
2y + 2(y + -8) = 5(y + 2) + -3

Reorder the terms:
2y + 2(-8 + y) = 5(y + 2) + -3
2y + (-8 * 2 + y * 2) = 5(y + 2) + -3
2y + (-16 + 2y) = 5(y + 2) + -3

Reorder the terms:
-16 + 2y + 2y = 5(y + 2) + -3

Combine like terms: 2y + 2y = 4y
-16 + 4y = 5(y + 2) + -3

Reorder the terms:
-16 + 4y = 5(2 + y) + -3
-16 + 4y = (2 * 5 + y * 5) + -3
-16 + 4y = (10 + 5y) + -3

Reorder the terms:
-16 + 4y = 10 + -3 + 5y

Combine like terms: 10 + -3 = 7
-16 + 4y = 7 + 5y

Solving
-16 + 4y = 7 + 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.
-16 + 4y + -5y = 7 + 5y + -5y

Combine like terms: 4y + -5y = -1y
-16 + -1y = 7 + 5y + -5y

Combine like terms: 5y + -5y = 0
-16 + -1y = 7 + 0
-16 + -1y = 7

Add '16' to each side of the equation.
-16 + 16 + -1y = 7 + 16

Combine like terms: -16 + 16 = 0
0 + -1y = 7 + 16
-1y = 7 + 16

Combine like terms: 7 + 16 = 23
-1y = 23

Divide each side by '-1'.
y = -23

Simplifying
y = -23

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