-3(4y-4)=3(1-5y)+10

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Solution for -3(4y-4)=3(1-5y)+10 equation: 


Simplifying
-3(4y + -4) = 3(1 + -5y) + 10

Reorder the terms:
-3(-4 + 4y) = 3(1 + -5y) + 10
(-4 * -3 + 4y * -3) = 3(1 + -5y) + 10
(12 + -12y) = 3(1 + -5y) + 10
12 + -12y = (1 * 3 + -5y * 3) + 10
12 + -12y = (3 + -15y) + 10

Reorder the terms:
12 + -12y = 3 + 10 + -15y

Combine like terms: 3 + 10 = 13
12 + -12y = 13 + -15y

Solving
12 + -12y = 13 + -15y

Solving for variable 'y'.

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

Add '15y' to each side of the equation.
12 + -12y + 15y = 13 + -15y + 15y

Combine like terms: -12y + 15y = 3y
12 + 3y = 13 + -15y + 15y

Combine like terms: -15y + 15y = 0
12 + 3y = 13 + 0
12 + 3y = 13

Add '-12' to each side of the equation.
12 + -12 + 3y = 13 + -12

Combine like terms: 12 + -12 = 0
0 + 3y = 13 + -12
3y = 13 + -12

Combine like terms: 13 + -12 = 1
3y = 1

Divide each side by '3'.
y = 0.3333333333

Simplifying
y = 0.3333333333

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