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

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


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

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

Combine like terms: -12y + -1y = -13y
10 + -13y = -3(y + -5)

Reorder the terms:
10 + -13y = -3(-5 + y)
10 + -13y = (-5 * -3 + y * -3)
10 + -13y = (15 + -3y)

Solving
10 + -13y = 15 + -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.
10 + -13y + 3y = 15 + -3y + 3y

Combine like terms: -13y + 3y = -10y
10 + -10y = 15 + -3y + 3y

Combine like terms: -3y + 3y = 0
10 + -10y = 15 + 0
10 + -10y = 15

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

Combine like terms: 10 + -10 = 0
0 + -10y = 15 + -10
-10y = 15 + -10

Combine like terms: 15 + -10 = 5
-10y = 5

Divide each side by '-10'.
y = -0.5

Simplifying
y = -0.5

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