4(2y+1)=2y-13

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Solution for 4(2y+1)=2y-13 equation:


Simplifying
4(2y + 1) = 2y + -13

Reorder the terms:
4(1 + 2y) = 2y + -13
(1 * 4 + 2y * 4) = 2y + -13
(4 + 8y) = 2y + -13

Reorder the terms:
4 + 8y = -13 + 2y

Solving
4 + 8y = -13 + 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 = -13 + 2y + -2y

Combine like terms: 8y + -2y = 6y
4 + 6y = -13 + 2y + -2y

Combine like terms: 2y + -2y = 0
4 + 6y = -13 + 0
4 + 6y = -13

Add '-4' to each side of the equation.
4 + -4 + 6y = -13 + -4

Combine like terms: 4 + -4 = 0
0 + 6y = -13 + -4
6y = -13 + -4

Combine like terms: -13 + -4 = -17
6y = -17

Divide each side by '6'.
y = -2.833333333

Simplifying
y = -2.833333333

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