8(2y-4)=7(y+4)

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Solution for 8(2y-4)=7(y+4) equation:


Simplifying
8(2y + -4) = 7(y + 4)

Reorder the terms:
8(-4 + 2y) = 7(y + 4)
(-4 * 8 + 2y * 8) = 7(y + 4)
(-32 + 16y) = 7(y + 4)

Reorder the terms:
-32 + 16y = 7(4 + y)
-32 + 16y = (4 * 7 + y * 7)
-32 + 16y = (28 + 7y)

Solving
-32 + 16y = 28 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-32 + 16y + -7y = 28 + 7y + -7y

Combine like terms: 16y + -7y = 9y
-32 + 9y = 28 + 7y + -7y

Combine like terms: 7y + -7y = 0
-32 + 9y = 28 + 0
-32 + 9y = 28

Add '32' to each side of the equation.
-32 + 32 + 9y = 28 + 32

Combine like terms: -32 + 32 = 0
0 + 9y = 28 + 32
9y = 28 + 32

Combine like terms: 28 + 32 = 60
9y = 60

Divide each side by '9'.
y = 6.666666667

Simplifying
y = 6.666666667

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