4(2y+1)=2(y-26)

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Solution for 4(2y+1)=2(y-26) equation:


Simplifying
4(2y + 1) = 2(y + -26)

Reorder the terms:
4(1 + 2y) = 2(y + -26)
(1 * 4 + 2y * 4) = 2(y + -26)
(4 + 8y) = 2(y + -26)

Reorder the terms:
4 + 8y = 2(-26 + y)
4 + 8y = (-26 * 2 + y * 2)
4 + 8y = (-52 + 2y)

Solving
4 + 8y = -52 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
4 + 8y + -2y = -52 + 2y + -2y

Combine like terms: 8y + -2y = 6y
4 + 6y = -52 + 2y + -2y

Combine like terms: 2y + -2y = 0
4 + 6y = -52 + 0
4 + 6y = -52

Add '-4' to each side of the equation.
4 + -4 + 6y = -52 + -4

Combine like terms: 4 + -4 = 0
0 + 6y = -52 + -4
6y = -52 + -4

Combine like terms: -52 + -4 = -56
6y = -56

Divide each side by '6'.
y = -9.333333333

Simplifying
y = -9.333333333

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