-3(2y-5)+6y=5+4(4y-1)

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Solution for -3(2y-5)+6y=5+4(4y-1) equation: 


Simplifying
-3(2y + -5) + 6y = 5 + 4(4y + -1)

Reorder the terms:
-3(-5 + 2y) + 6y = 5 + 4(4y + -1)
(-5 * -3 + 2y * -3) + 6y = 5 + 4(4y + -1)
(15 + -6y) + 6y = 5 + 4(4y + -1)

Combine like terms: -6y + 6y = 0
15 + 0 = 5 + 4(4y + -1)
15 = 5 + 4(4y + -1)

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

Combine like terms: 5 + -4 = 1
15 = 1 + 16y

Solving
15 = 1 + 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 + -16y = 1 + 16y + -16y

Combine like terms: 16y + -16y = 0
15 + -16y = 1 + 0
15 + -16y = 1

Add '-15' to each side of the equation.
15 + -15 + -16y = 1 + -15

Combine like terms: 15 + -15 = 0
0 + -16y = 1 + -15
-16y = 1 + -15

Combine like terms: 1 + -15 = -14
-16y = -14

Divide each side by '-16'.
y = 0.875

Simplifying
y = 0.875

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