7y+2(y-8)=5(y+2)-5

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Solution for 7y+2(y-8)=5(y+2)-5 equation:


Simplifying
7y + 2(y + -8) = 5(y + 2) + -5

Reorder the terms:
7y + 2(-8 + y) = 5(y + 2) + -5
7y + (-8 * 2 + y * 2) = 5(y + 2) + -5
7y + (-16 + 2y) = 5(y + 2) + -5

Reorder the terms:
-16 + 7y + 2y = 5(y + 2) + -5

Combine like terms: 7y + 2y = 9y
-16 + 9y = 5(y + 2) + -5

Reorder the terms:
-16 + 9y = 5(2 + y) + -5
-16 + 9y = (2 * 5 + y * 5) + -5
-16 + 9y = (10 + 5y) + -5

Reorder the terms:
-16 + 9y = 10 + -5 + 5y

Combine like terms: 10 + -5 = 5
-16 + 9y = 5 + 5y

Solving
-16 + 9y = 5 + 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 + 9y + -5y = 5 + 5y + -5y

Combine like terms: 9y + -5y = 4y
-16 + 4y = 5 + 5y + -5y

Combine like terms: 5y + -5y = 0
-16 + 4y = 5 + 0
-16 + 4y = 5

Add '16' to each side of the equation.
-16 + 16 + 4y = 5 + 16

Combine like terms: -16 + 16 = 0
0 + 4y = 5 + 16
4y = 5 + 16

Combine like terms: 5 + 16 = 21
4y = 21

Divide each side by '4'.
y = 5.25

Simplifying
y = 5.25

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