52-8y=8+4(4y-2)

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Solution for 52-8y=8+4(4y-2) equation:


Simplifying
52 + -8y = 8 + 4(4y + -2)

Reorder the terms:
52 + -8y = 8 + 4(-2 + 4y)
52 + -8y = 8 + (-2 * 4 + 4y * 4)
52 + -8y = 8 + (-8 + 16y)

Combine like terms: 8 + -8 = 0
52 + -8y = 0 + 16y
52 + -8y = 16y

Solving
52 + -8y = 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.
52 + -8y + -16y = 16y + -16y

Combine like terms: -8y + -16y = -24y
52 + -24y = 16y + -16y

Combine like terms: 16y + -16y = 0
52 + -24y = 0

Add '-52' to each side of the equation.
52 + -52 + -24y = 0 + -52

Combine like terms: 52 + -52 = 0
0 + -24y = 0 + -52
-24y = 0 + -52

Combine like terms: 0 + -52 = -52
-24y = -52

Divide each side by '-24'.
y = 2.166666667

Simplifying
y = 2.166666667

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