-3(y-5)=2(2x-6)

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Solution for -3(y-5)=2(2x-6) equation:


Simplifying
-3(y + -5) = 2(2x + -6)

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

Reorder the terms:
15 + -3y = 2(-6 + 2x)
15 + -3y = (-6 * 2 + 2x * 2)
15 + -3y = (-12 + 4x)

Solving
15 + -3y = -12 + 4x

Solving for variable 'y'.

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

Add '-15' to each side of the equation.
15 + -15 + -3y = -12 + -15 + 4x

Combine like terms: 15 + -15 = 0
0 + -3y = -12 + -15 + 4x
-3y = -12 + -15 + 4x

Combine like terms: -12 + -15 = -27
-3y = -27 + 4x

Divide each side by '-3'.
y = 9 + -1.333333333x

Simplifying
y = 9 + -1.333333333x

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