2y+8=5(2y-3)-1

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Solution for 2y+8=5(2y-3)-1 equation:


Simplifying
2y + 8 = 5(2y + -3) + -1

Reorder the terms:
8 + 2y = 5(2y + -3) + -1

Reorder the terms:
8 + 2y = 5(-3 + 2y) + -1
8 + 2y = (-3 * 5 + 2y * 5) + -1
8 + 2y = (-15 + 10y) + -1

Reorder the terms:
8 + 2y = -15 + -1 + 10y

Combine like terms: -15 + -1 = -16
8 + 2y = -16 + 10y

Solving
8 + 2y = -16 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
8 + 2y + -10y = -16 + 10y + -10y

Combine like terms: 2y + -10y = -8y
8 + -8y = -16 + 10y + -10y

Combine like terms: 10y + -10y = 0
8 + -8y = -16 + 0
8 + -8y = -16

Add '-8' to each side of the equation.
8 + -8 + -8y = -16 + -8

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

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

Divide each side by '-8'.
y = 3

Simplifying
y = 3

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