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

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


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

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

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

Combine like terms: -15 + -5 = -20
-20 + 5y = -4(-6y + 3) + -3y

Reorder the terms:
-20 + 5y = -4(3 + -6y) + -3y
-20 + 5y = (3 * -4 + -6y * -4) + -3y
-20 + 5y = (-12 + 24y) + -3y

Combine like terms: 24y + -3y = 21y
-20 + 5y = -12 + 21y

Solving
-20 + 5y = -12 + 21y

Solving for variable 'y'.

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

Add '-21y' to each side of the equation.
-20 + 5y + -21y = -12 + 21y + -21y

Combine like terms: 5y + -21y = -16y
-20 + -16y = -12 + 21y + -21y

Combine like terms: 21y + -21y = 0
-20 + -16y = -12 + 0
-20 + -16y = -12

Add '20' to each side of the equation.
-20 + 20 + -16y = -12 + 20

Combine like terms: -20 + 20 = 0
0 + -16y = -12 + 20
-16y = -12 + 20

Combine like terms: -12 + 20 = 8
-16y = 8

Divide each side by '-16'.
y = -0.5

Simplifying
y = -0.5

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