-5y+6=2(4y+9)

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Solution for -5y+6=2(4y+9) equation:


Simplifying
-5y + 6 = 2(4y + 9)

Reorder the terms:
6 + -5y = 2(4y + 9)

Reorder the terms:
6 + -5y = 2(9 + 4y)
6 + -5y = (9 * 2 + 4y * 2)
6 + -5y = (18 + 8y)

Solving
6 + -5y = 18 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
6 + -5y + -8y = 18 + 8y + -8y

Combine like terms: -5y + -8y = -13y
6 + -13y = 18 + 8y + -8y

Combine like terms: 8y + -8y = 0
6 + -13y = 18 + 0
6 + -13y = 18

Add '-6' to each side of the equation.
6 + -6 + -13y = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -13y = 18 + -6
-13y = 18 + -6

Combine like terms: 18 + -6 = 12
-13y = 12

Divide each side by '-13'.
y = -0.9230769231

Simplifying
y = -0.9230769231

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