8y-3(y-5)=4(y+2)-5

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Solution for 8y-3(y-5)=4(y+2)-5 equation: 


Simplifying
8y + -3(y + -5) = 4(y + 2) + -5

Reorder the terms:
8y + -3(-5 + y) = 4(y + 2) + -5
8y + (-5 * -3 + y * -3) = 4(y + 2) + -5
8y + (15 + -3y) = 4(y + 2) + -5

Reorder the terms:
15 + 8y + -3y = 4(y + 2) + -5

Combine like terms: 8y + -3y = 5y
15 + 5y = 4(y + 2) + -5

Reorder the terms:
15 + 5y = 4(2 + y) + -5
15 + 5y = (2 * 4 + y * 4) + -5
15 + 5y = (8 + 4y) + -5

Reorder the terms:
15 + 5y = 8 + -5 + 4y

Combine like terms: 8 + -5 = 3
15 + 5y = 3 + 4y

Solving
15 + 5y = 3 + 4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-4y' to each side of the equation.
15 + 5y + -4y = 3 + 4y + -4y

Combine like terms: 5y + -4y = 1y
15 + 1y = 3 + 4y + -4y

Combine like terms: 4y + -4y = 0
15 + 1y = 3 + 0
15 + 1y = 3

Add '-15' to each side of the equation.
15 + -15 + 1y = 3 + -15

Combine like terms: 15 + -15 = 0
0 + 1y = 3 + -15
1y = 3 + -15

Combine like terms: 3 + -15 = -12
1y = -12

Divide each side by '1'.
y = -12

Simplifying
y = -12

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