5y=2(y-8)+4(y+1)-3

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Solution for 5y=2(y-8)+4(y+1)-3 equation: 


Simplifying
5y = 2(y + -8) + 4(y + 1) + -3

Reorder the terms:
5y = 2(-8 + y) + 4(y + 1) + -3
5y = (-8 * 2 + y * 2) + 4(y + 1) + -3
5y = (-16 + 2y) + 4(y + 1) + -3

Reorder the terms:
5y = -16 + 2y + 4(1 + y) + -3
5y = -16 + 2y + (1 * 4 + y * 4) + -3
5y = -16 + 2y + (4 + 4y) + -3

Reorder the terms:
5y = -16 + 4 + -3 + 2y + 4y

Combine like terms: -16 + 4 = -12
5y = -12 + -3 + 2y + 4y

Combine like terms: -12 + -3 = -15
5y = -15 + 2y + 4y

Combine like terms: 2y + 4y = 6y
5y = -15 + 6y

Solving
5y = -15 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
5y + -6y = -15 + 6y + -6y

Combine like terms: 5y + -6y = -1y
-1y = -15 + 6y + -6y

Combine like terms: 6y + -6y = 0
-1y = -15 + 0
-1y = -15

Divide each side by '-1'.
y = 15

Simplifying
y = 15

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