5(2y-3)=2(y-1)

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


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

Reorder the terms:
5(-3 + 2y) = 2(y + -1)
(-3 * 5 + 2y * 5) = 2(y + -1)
(-15 + 10y) = 2(y + -1)

Reorder the terms:
-15 + 10y = 2(-1 + y)
-15 + 10y = (-1 * 2 + y * 2)
-15 + 10y = (-2 + 2y)

Solving
-15 + 10y = -2 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-15 + 10y + -2y = -2 + 2y + -2y

Combine like terms: 10y + -2y = 8y
-15 + 8y = -2 + 2y + -2y

Combine like terms: 2y + -2y = 0
-15 + 8y = -2 + 0
-15 + 8y = -2

Add '15' to each side of the equation.
-15 + 15 + 8y = -2 + 15

Combine like terms: -15 + 15 = 0
0 + 8y = -2 + 15
8y = -2 + 15

Combine like terms: -2 + 15 = 13
8y = 13

Divide each side by '8'.
y = 1.625

Simplifying
y = 1.625

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