3(4-10y)=8(8y+16)

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Solution for 3(4-10y)=8(8y+16) equation:


Simplifying
3(4 + -10y) = 8(8y + 16)
(4 * 3 + -10y * 3) = 8(8y + 16)
(12 + -30y) = 8(8y + 16)

Reorder the terms:
12 + -30y = 8(16 + 8y)
12 + -30y = (16 * 8 + 8y * 8)
12 + -30y = (128 + 64y)

Solving
12 + -30y = 128 + 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.
12 + -30y + -64y = 128 + 64y + -64y

Combine like terms: -30y + -64y = -94y
12 + -94y = 128 + 64y + -64y

Combine like terms: 64y + -64y = 0
12 + -94y = 128 + 0
12 + -94y = 128

Add '-12' to each side of the equation.
12 + -12 + -94y = 128 + -12

Combine like terms: 12 + -12 = 0
0 + -94y = 128 + -12
-94y = 128 + -12

Combine like terms: 128 + -12 = 116
-94y = 116

Divide each side by '-94'.
y = -1.234042553

Simplifying
y = -1.234042553

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