-3(4y-5)=4(1-4y)+13

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Solution for -3(4y-5)=4(1-4y)+13 equation: 


Simplifying
-3(4y + -5) = 4(1 + -4y) + 13

Reorder the terms:
-3(-5 + 4y) = 4(1 + -4y) + 13
(-5 * -3 + 4y * -3) = 4(1 + -4y) + 13
(15 + -12y) = 4(1 + -4y) + 13
15 + -12y = (1 * 4 + -4y * 4) + 13
15 + -12y = (4 + -16y) + 13

Reorder the terms:
15 + -12y = 4 + 13 + -16y

Combine like terms: 4 + 13 = 17
15 + -12y = 17 + -16y

Solving
15 + -12y = 17 + -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.
15 + -12y + 16y = 17 + -16y + 16y

Combine like terms: -12y + 16y = 4y
15 + 4y = 17 + -16y + 16y

Combine like terms: -16y + 16y = 0
15 + 4y = 17 + 0
15 + 4y = 17

Add '-15' to each side of the equation.
15 + -15 + 4y = 17 + -15

Combine like terms: 15 + -15 = 0
0 + 4y = 17 + -15
4y = 17 + -15

Combine like terms: 17 + -15 = 2
4y = 2

Divide each side by '4'.
y = 0.5

Simplifying
y = 0.5

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