7y+2(y-8)=5(y+1)-4

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Solution for 7y+2(y-8)=5(y+1)-4 equation: 


Simplifying
7y + 2(y + -8) = 5(y + 1) + -4

Reorder the terms:
7y + 2(-8 + y) = 5(y + 1) + -4
7y + (-8 * 2 + y * 2) = 5(y + 1) + -4
7y + (-16 + 2y) = 5(y + 1) + -4

Reorder the terms:
-16 + 7y + 2y = 5(y + 1) + -4

Combine like terms: 7y + 2y = 9y
-16 + 9y = 5(y + 1) + -4

Reorder the terms:
-16 + 9y = 5(1 + y) + -4
-16 + 9y = (1 * 5 + y * 5) + -4
-16 + 9y = (5 + 5y) + -4

Reorder the terms:
-16 + 9y = 5 + -4 + 5y

Combine like terms: 5 + -4 = 1
-16 + 9y = 1 + 5y

Solving
-16 + 9y = 1 + 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 = 1 + 5y + -5y

Combine like terms: 9y + -5y = 4y
-16 + 4y = 1 + 5y + -5y

Combine like terms: 5y + -5y = 0
-16 + 4y = 1 + 0
-16 + 4y = 1

Add '16' to each side of the equation.
-16 + 16 + 4y = 1 + 16

Combine like terms: -16 + 16 = 0
0 + 4y = 1 + 16
4y = 1 + 16

Combine like terms: 1 + 16 = 17
4y = 17

Divide each side by '4'.
y = 4.25

Simplifying
y = 4.25

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