-3(6y-5)-y=-4(y-3)

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Solution for -3(6y-5)-y=-4(y-3) equation: 


Simplifying
-3(6y + -5) + -1y = -4(y + -3)

Reorder the terms:
-3(-5 + 6y) + -1y = -4(y + -3)
(-5 * -3 + 6y * -3) + -1y = -4(y + -3)
(15 + -18y) + -1y = -4(y + -3)

Combine like terms: -18y + -1y = -19y
15 + -19y = -4(y + -3)

Reorder the terms:
15 + -19y = -4(-3 + y)
15 + -19y = (-3 * -4 + y * -4)
15 + -19y = (12 + -4y)

Solving
15 + -19y = 12 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
15 + -19y + 4y = 12 + -4y + 4y

Combine like terms: -19y + 4y = -15y
15 + -15y = 12 + -4y + 4y

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

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

Combine like terms: 15 + -15 = 0
0 + -15y = 12 + -15
-15y = 12 + -15

Combine like terms: 12 + -15 = -3
-15y = -3

Divide each side by '-15'.
y = 0.2

Simplifying
y = 0.2

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