128+6y=2(5y+5)+2(4y+5)

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Solution for 128+6y=2(5y+5)+2(4y+5) equation:


Simplifying
128 + 6y = 2(5y + 5) + 2(4y + 5)

Reorder the terms:
128 + 6y = 2(5 + 5y) + 2(4y + 5)
128 + 6y = (5 * 2 + 5y * 2) + 2(4y + 5)
128 + 6y = (10 + 10y) + 2(4y + 5)

Reorder the terms:
128 + 6y = 10 + 10y + 2(5 + 4y)
128 + 6y = 10 + 10y + (5 * 2 + 4y * 2)
128 + 6y = 10 + 10y + (10 + 8y)

Reorder the terms:
128 + 6y = 10 + 10 + 10y + 8y

Combine like terms: 10 + 10 = 20
128 + 6y = 20 + 10y + 8y

Combine like terms: 10y + 8y = 18y
128 + 6y = 20 + 18y

Solving
128 + 6y = 20 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
128 + 6y + -18y = 20 + 18y + -18y

Combine like terms: 6y + -18y = -12y
128 + -12y = 20 + 18y + -18y

Combine like terms: 18y + -18y = 0
128 + -12y = 20 + 0
128 + -12y = 20

Add '-128' to each side of the equation.
128 + -128 + -12y = 20 + -128

Combine like terms: 128 + -128 = 0
0 + -12y = 20 + -128
-12y = 20 + -128

Combine like terms: 20 + -128 = -108
-12y = -108

Divide each side by '-12'.
y = 9

Simplifying
y = 9

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