13(4y+4)=3(4y+4)-64

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Solution for 13(4y+4)=3(4y+4)-64 equation:


Simplifying
13(4y + 4) = 3(4y + 4) + -64

Reorder the terms:
13(4 + 4y) = 3(4y + 4) + -64
(4 * 13 + 4y * 13) = 3(4y + 4) + -64
(52 + 52y) = 3(4y + 4) + -64

Reorder the terms:
52 + 52y = 3(4 + 4y) + -64
52 + 52y = (4 * 3 + 4y * 3) + -64
52 + 52y = (12 + 12y) + -64

Reorder the terms:
52 + 52y = 12 + -64 + 12y

Combine like terms: 12 + -64 = -52
52 + 52y = -52 + 12y

Solving
52 + 52y = -52 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
52 + 52y + -12y = -52 + 12y + -12y

Combine like terms: 52y + -12y = 40y
52 + 40y = -52 + 12y + -12y

Combine like terms: 12y + -12y = 0
52 + 40y = -52 + 0
52 + 40y = -52

Add '-52' to each side of the equation.
52 + -52 + 40y = -52 + -52

Combine like terms: 52 + -52 = 0
0 + 40y = -52 + -52
40y = -52 + -52

Combine like terms: -52 + -52 = -104
40y = -104

Divide each side by '40'.
y = -2.6

Simplifying
y = -2.6

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