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

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


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

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

Reorder the terms:
-16 + 4 + 8y = 5(y + 4) + -5

Combine like terms: -16 + 4 = -12
-12 + 8y = 5(y + 4) + -5

Reorder the terms:
-12 + 8y = 5(4 + y) + -5
-12 + 8y = (4 * 5 + y * 5) + -5
-12 + 8y = (20 + 5y) + -5

Reorder the terms:
-12 + 8y = 20 + -5 + 5y

Combine like terms: 20 + -5 = 15
-12 + 8y = 15 + 5y

Solving
-12 + 8y = 15 + 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.
-12 + 8y + -5y = 15 + 5y + -5y

Combine like terms: 8y + -5y = 3y
-12 + 3y = 15 + 5y + -5y

Combine like terms: 5y + -5y = 0
-12 + 3y = 15 + 0
-12 + 3y = 15

Add '12' to each side of the equation.
-12 + 12 + 3y = 15 + 12

Combine like terms: -12 + 12 = 0
0 + 3y = 15 + 12
3y = 15 + 12

Combine like terms: 15 + 12 = 27
3y = 27

Divide each side by '3'.
y = 9

Simplifying
y = 9

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