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

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


Simplifying
-2(5y + -6) + -1y = -3(y + -3)

Reorder the terms:
-2(-6 + 5y) + -1y = -3(y + -3)
(-6 * -2 + 5y * -2) + -1y = -3(y + -3)
(12 + -10y) + -1y = -3(y + -3)

Combine like terms: -10y + -1y = -11y
12 + -11y = -3(y + -3)

Reorder the terms:
12 + -11y = -3(-3 + y)
12 + -11y = (-3 * -3 + y * -3)
12 + -11y = (9 + -3y)

Solving
12 + -11y = 9 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
12 + -11y + 3y = 9 + -3y + 3y

Combine like terms: -11y + 3y = -8y
12 + -8y = 9 + -3y + 3y

Combine like terms: -3y + 3y = 0
12 + -8y = 9 + 0
12 + -8y = 9

Add '-12' to each side of the equation.
12 + -12 + -8y = 9 + -12

Combine like terms: 12 + -12 = 0
0 + -8y = 9 + -12
-8y = 9 + -12

Combine like terms: 9 + -12 = -3
-8y = -3

Divide each side by '-8'.
y = 0.375

Simplifying
y = 0.375

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