(4y-14+7y)=(9y+3-8)

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Solution for (4y-14+7y)=(9y+3-8) equation:


Simplifying
(4y + -14 + 7y) = (9y + 3 + -8)

Reorder the terms:
(-14 + 4y + 7y) = (9y + 3 + -8)

Combine like terms: 4y + 7y = 11y
(-14 + 11y) = (9y + 3 + -8)

Remove parenthesis around (-14 + 11y)
-14 + 11y = (9y + 3 + -8)

Reorder the terms:
-14 + 11y = (3 + -8 + 9y)

Combine like terms: 3 + -8 = -5
-14 + 11y = (-5 + 9y)

Remove parenthesis around (-5 + 9y)
-14 + 11y = -5 + 9y

Solving
-14 + 11y = -5 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-14 + 11y + -9y = -5 + 9y + -9y

Combine like terms: 11y + -9y = 2y
-14 + 2y = -5 + 9y + -9y

Combine like terms: 9y + -9y = 0
-14 + 2y = -5 + 0
-14 + 2y = -5

Add '14' to each side of the equation.
-14 + 14 + 2y = -5 + 14

Combine like terms: -14 + 14 = 0
0 + 2y = -5 + 14
2y = -5 + 14

Combine like terms: -5 + 14 = 9
2y = 9

Divide each side by '2'.
y = 4.5

Simplifying
y = 4.5

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