4(5y-9)-24y+70=4(1-16y)

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Solution for 4(5y-9)-24y+70=4(1-16y) equation: 


Simplifying
4(5y + -9) + -24y + 70 = 4(1 + -16y)

Reorder the terms:
4(-9 + 5y) + -24y + 70 = 4(1 + -16y)
(-9 * 4 + 5y * 4) + -24y + 70 = 4(1 + -16y)
(-36 + 20y) + -24y + 70 = 4(1 + -16y)

Reorder the terms:
-36 + 70 + 20y + -24y = 4(1 + -16y)

Combine like terms: -36 + 70 = 34
34 + 20y + -24y = 4(1 + -16y)

Combine like terms: 20y + -24y = -4y
34 + -4y = 4(1 + -16y)
34 + -4y = (1 * 4 + -16y * 4)
34 + -4y = (4 + -64y)

Solving
34 + -4y = 4 + -64y

Solving for variable 'y'.

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

Add '64y' to each side of the equation.
34 + -4y + 64y = 4 + -64y + 64y

Combine like terms: -4y + 64y = 60y
34 + 60y = 4 + -64y + 64y

Combine like terms: -64y + 64y = 0
34 + 60y = 4 + 0
34 + 60y = 4

Add '-34' to each side of the equation.
34 + -34 + 60y = 4 + -34

Combine like terms: 34 + -34 = 0
0 + 60y = 4 + -34
60y = 4 + -34

Combine like terms: 4 + -34 = -30
60y = -30

Divide each side by '60'.
y = -0.5

Simplifying
y = -0.5

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