-3(6y-4)=3(1-7y)+10

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Solution for -3(6y-4)=3(1-7y)+10 equation: 


Simplifying
-3(6y + -4) = 3(1 + -7y) + 10

Reorder the terms:
-3(-4 + 6y) = 3(1 + -7y) + 10
(-4 * -3 + 6y * -3) = 3(1 + -7y) + 10
(12 + -18y) = 3(1 + -7y) + 10
12 + -18y = (1 * 3 + -7y * 3) + 10
12 + -18y = (3 + -21y) + 10

Reorder the terms:
12 + -18y = 3 + 10 + -21y

Combine like terms: 3 + 10 = 13
12 + -18y = 13 + -21y

Solving
12 + -18y = 13 + -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.
12 + -18y + 21y = 13 + -21y + 21y

Combine like terms: -18y + 21y = 3y
12 + 3y = 13 + -21y + 21y

Combine like terms: -21y + 21y = 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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