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

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Solution for 4(y-1)-1=-3(-5y+5)-5y equation: 


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

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

Reorder the terms:
-4 + -1 + 4y = -3(-5y + 5) + -5y

Combine like terms: -4 + -1 = -5
-5 + 4y = -3(-5y + 5) + -5y

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

Combine like terms: 15y + -5y = 10y
-5 + 4y = -15 + 10y

Solving
-5 + 4y = -15 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-5 + 4y + -10y = -15 + 10y + -10y

Combine like terms: 4y + -10y = -6y
-5 + -6y = -15 + 10y + -10y

Combine like terms: 10y + -10y = 0
-5 + -6y = -15 + 0
-5 + -6y = -15

Add '5' to each side of the equation.
-5 + 5 + -6y = -15 + 5

Combine like terms: -5 + 5 = 0
0 + -6y = -15 + 5
-6y = -15 + 5

Combine like terms: -15 + 5 = -10
-6y = -10

Divide each side by '-6'.
y = 1.666666667

Simplifying
y = 1.666666667

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