-3(2y-5)=-7(y-2)

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Solution for -3(2y-5)=-7(y-2) equation: 


Simplifying
-3(2y + -5) = -7(y + -2)

Reorder the terms:
-3(-5 + 2y) = -7(y + -2)
(-5 * -3 + 2y * -3) = -7(y + -2)
(15 + -6y) = -7(y + -2)

Reorder the terms:
15 + -6y = -7(-2 + y)
15 + -6y = (-2 * -7 + y * -7)
15 + -6y = (14 + -7y)

Solving
15 + -6y = 14 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
15 + -6y + 7y = 14 + -7y + 7y

Combine like terms: -6y + 7y = 1y
15 + 1y = 14 + -7y + 7y

Combine like terms: -7y + 7y = 0
15 + 1y = 14 + 0
15 + 1y = 14

Add '-15' to each side of the equation.
15 + -15 + 1y = 14 + -15

Combine like terms: 15 + -15 = 0
0 + 1y = 14 + -15
1y = 14 + -15

Combine like terms: 14 + -15 = -1
1y = -1

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

Simplifying
y = -1

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