16(y-4)=8(y-1)

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Solution for 16(y-4)=8(y-1) equation:


Simplifying
16(y + -4) = 8(y + -1)

Reorder the terms:
16(-4 + y) = 8(y + -1)
(-4 * 16 + y * 16) = 8(y + -1)
(-64 + 16y) = 8(y + -1)

Reorder the terms:
-64 + 16y = 8(-1 + y)
-64 + 16y = (-1 * 8 + y * 8)
-64 + 16y = (-8 + 8y)

Solving
-64 + 16y = -8 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-64 + 16y + -8y = -8 + 8y + -8y

Combine like terms: 16y + -8y = 8y
-64 + 8y = -8 + 8y + -8y

Combine like terms: 8y + -8y = 0
-64 + 8y = -8 + 0
-64 + 8y = -8

Add '64' to each side of the equation.
-64 + 64 + 8y = -8 + 64

Combine like terms: -64 + 64 = 0
0 + 8y = -8 + 64
8y = -8 + 64

Combine like terms: -8 + 64 = 56
8y = 56

Divide each side by '8'.
y = 7

Simplifying
y = 7

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