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

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


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

Reorder the terms:
4(-6 + y) = 5(y + 8)
(-6 * 4 + y * 4) = 5(y + 8)
(-24 + 4y) = 5(y + 8)

Reorder the terms:
-24 + 4y = 5(8 + y)
-24 + 4y = (8 * 5 + y * 5)
-24 + 4y = (40 + 5y)

Solving
-24 + 4y = 40 + 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.
-24 + 4y + -5y = 40 + 5y + -5y

Combine like terms: 4y + -5y = -1y
-24 + -1y = 40 + 5y + -5y

Combine like terms: 5y + -5y = 0
-24 + -1y = 40 + 0
-24 + -1y = 40

Add '24' to each side of the equation.
-24 + 24 + -1y = 40 + 24

Combine like terms: -24 + 24 = 0
0 + -1y = 40 + 24
-1y = 40 + 24

Combine like terms: 40 + 24 = 64
-1y = 64

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

Simplifying
y = -64

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