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

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


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

Reorder the terms:
5 + -5y = 4(-6 + -1y) + 5(4y + 3)
5 + -5y = (-6 * 4 + -1y * 4) + 5(4y + 3)
5 + -5y = (-24 + -4y) + 5(4y + 3)

Reorder the terms:
5 + -5y = -24 + -4y + 5(3 + 4y)
5 + -5y = -24 + -4y + (3 * 5 + 4y * 5)
5 + -5y = -24 + -4y + (15 + 20y)

Reorder the terms:
5 + -5y = -24 + 15 + -4y + 20y

Combine like terms: -24 + 15 = -9
5 + -5y = -9 + -4y + 20y

Combine like terms: -4y + 20y = 16y
5 + -5y = -9 + 16y

Solving
5 + -5y = -9 + 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.
5 + -5y + -16y = -9 + 16y + -16y

Combine like terms: -5y + -16y = -21y
5 + -21y = -9 + 16y + -16y

Combine like terms: 16y + -16y = 0
5 + -21y = -9 + 0
5 + -21y = -9

Add '-5' to each side of the equation.
5 + -5 + -21y = -9 + -5

Combine like terms: 5 + -5 = 0
0 + -21y = -9 + -5
-21y = -9 + -5

Combine like terms: -9 + -5 = -14
-21y = -14

Divide each side by '-21'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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