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

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


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

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

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

Reorder the terms:
20 + -15y = 3(4 + y)
20 + -15y = (4 * 3 + y * 3)
20 + -15y = (12 + 3y)

Solving
20 + -15y = 12 + 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.
20 + -15y + -3y = 12 + 3y + -3y

Combine like terms: -15y + -3y = -18y
20 + -18y = 12 + 3y + -3y

Combine like terms: 3y + -3y = 0
20 + -18y = 12 + 0
20 + -18y = 12

Add '-20' to each side of the equation.
20 + -20 + -18y = 12 + -20

Combine like terms: 20 + -20 = 0
0 + -18y = 12 + -20
-18y = 12 + -20

Combine like terms: 12 + -20 = -8
-18y = -8

Divide each side by '-18'.
y = 0.4444444444

Simplifying
y = 0.4444444444

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