-3(4y-4)=4(1-4y)+9

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Solution for -3(4y-4)=4(1-4y)+9 equation:


Simplifying
-3(4y + -4) = 4(1 + -4y) + 9

Reorder the terms:
-3(-4 + 4y) = 4(1 + -4y) + 9
(-4 * -3 + 4y * -3) = 4(1 + -4y) + 9
(12 + -12y) = 4(1 + -4y) + 9
12 + -12y = (1 * 4 + -4y * 4) + 9
12 + -12y = (4 + -16y) + 9

Reorder the terms:
12 + -12y = 4 + 9 + -16y

Combine like terms: 4 + 9 = 13
12 + -12y = 13 + -16y

Solving
12 + -12y = 13 + -16y

Solving for variable 'y'.

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

Add '16y' to each side of the equation.
12 + -12y + 16y = 13 + -16y + 16y

Combine like terms: -12y + 16y = 4y
12 + 4y = 13 + -16y + 16y

Combine like terms: -16y + 16y = 0
12 + 4y = 13 + 0
12 + 4y = 13

Add '-12' to each side of the equation.
12 + -12 + 4y = 13 + -12

Combine like terms: 12 + -12 = 0
0 + 4y = 13 + -12
4y = 13 + -12

Combine like terms: 13 + -12 = 1
4y = 1

Divide each side by '4'.
y = 0.25

Simplifying
y = 0.25

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