8(y-2)=5y-28

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Solution for 8(y-2)=5y-28 equation:


Simplifying
8(y + -2) = 5y + -28

Reorder the terms:
8(-2 + y) = 5y + -28
(-2 * 8 + y * 8) = 5y + -28
(-16 + 8y) = 5y + -28

Reorder the terms:
-16 + 8y = -28 + 5y

Solving
-16 + 8y = -28 + 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.
-16 + 8y + -5y = -28 + 5y + -5y

Combine like terms: 8y + -5y = 3y
-16 + 3y = -28 + 5y + -5y

Combine like terms: 5y + -5y = 0
-16 + 3y = -28 + 0
-16 + 3y = -28

Add '16' to each side of the equation.
-16 + 16 + 3y = -28 + 16

Combine like terms: -16 + 16 = 0
0 + 3y = -28 + 16
3y = -28 + 16

Combine like terms: -28 + 16 = -12
3y = -12

Divide each side by '3'.
y = -4

Simplifying
y = -4

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