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

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Solution for 6(y+8)=5(y-4)+4 equation: 


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

Reorder the terms:
6(8 + y) = 5(y + -4) + 4
(8 * 6 + y * 6) = 5(y + -4) + 4
(48 + 6y) = 5(y + -4) + 4

Reorder the terms:
48 + 6y = 5(-4 + y) + 4
48 + 6y = (-4 * 5 + y * 5) + 4
48 + 6y = (-20 + 5y) + 4

Reorder the terms:
48 + 6y = -20 + 4 + 5y

Combine like terms: -20 + 4 = -16
48 + 6y = -16 + 5y

Solving
48 + 6y = -16 + 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.
48 + 6y + -5y = -16 + 5y + -5y

Combine like terms: 6y + -5y = 1y
48 + 1y = -16 + 5y + -5y

Combine like terms: 5y + -5y = 0
48 + 1y = -16 + 0
48 + 1y = -16

Add '-48' to each side of the equation.
48 + -48 + 1y = -16 + -48

Combine like terms: 48 + -48 = 0
0 + 1y = -16 + -48
1y = -16 + -48

Combine like terms: -16 + -48 = -64
1y = -64

Divide each side by '1'.
y = -64

Simplifying
y = -64

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