8(y-2)=4.5(y-2)

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Solution for 8(y-2)=4.5(y-2) equation:


Simplifying
8(y + -2) = 4.5(y + -2)

Reorder the terms:
8(-2 + y) = 4.5(y + -2)
(-2 * 8 + y * 8) = 4.5(y + -2)
(-16 + 8y) = 4.5(y + -2)

Reorder the terms:
-16 + 8y = 4.5(-2 + y)
-16 + 8y = (-2 * 4.5 + y * 4.5)
-16 + 8y = (-9 + 4.5y)

Solving
-16 + 8y = -9 + 4.5y

Solving for variable 'y'.

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

Add '-4.5y' to each side of the equation.
-16 + 8y + -4.5y = -9 + 4.5y + -4.5y

Combine like terms: 8y + -4.5y = 3.5y
-16 + 3.5y = -9 + 4.5y + -4.5y

Combine like terms: 4.5y + -4.5y = 0.0
-16 + 3.5y = -9 + 0.0
-16 + 3.5y = -9

Add '16' to each side of the equation.
-16 + 16 + 3.5y = -9 + 16

Combine like terms: -16 + 16 = 0
0 + 3.5y = -9 + 16
3.5y = -9 + 16

Combine like terms: -9 + 16 = 7
3.5y = 7

Divide each side by '3.5'.
y = 2

Simplifying
y = 2

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