5-2(y+8)=6y+7

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Solution for 5-2(y+8)=6y+7 equation:


Simplifying
5 + -2(y + 8) = 6y + 7

Reorder the terms:
5 + -2(8 + y) = 6y + 7
5 + (8 * -2 + y * -2) = 6y + 7
5 + (-16 + -2y) = 6y + 7

Combine like terms: 5 + -16 = -11
-11 + -2y = 6y + 7

Reorder the terms:
-11 + -2y = 7 + 6y

Solving
-11 + -2y = 7 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-11 + -2y + -6y = 7 + 6y + -6y

Combine like terms: -2y + -6y = -8y
-11 + -8y = 7 + 6y + -6y

Combine like terms: 6y + -6y = 0
-11 + -8y = 7 + 0
-11 + -8y = 7

Add '11' to each side of the equation.
-11 + 11 + -8y = 7 + 11

Combine like terms: -11 + 11 = 0
0 + -8y = 7 + 11
-8y = 7 + 11

Combine like terms: 7 + 11 = 18
-8y = 18

Divide each side by '-8'.
y = -2.25

Simplifying
y = -2.25

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