(8y+18)=(12y-10)

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Solution for (8y+18)=(12y-10) equation:


Simplifying
(8y + 18) = (12y + -10)

Reorder the terms:
(18 + 8y) = (12y + -10)

Remove parenthesis around (18 + 8y)
18 + 8y = (12y + -10)

Reorder the terms:
18 + 8y = (-10 + 12y)

Remove parenthesis around (-10 + 12y)
18 + 8y = -10 + 12y

Solving
18 + 8y = -10 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
18 + 8y + -12y = -10 + 12y + -12y

Combine like terms: 8y + -12y = -4y
18 + -4y = -10 + 12y + -12y

Combine like terms: 12y + -12y = 0
18 + -4y = -10 + 0
18 + -4y = -10

Add '-18' to each side of the equation.
18 + -18 + -4y = -10 + -18

Combine like terms: 18 + -18 = 0
0 + -4y = -10 + -18
-4y = -10 + -18

Combine like terms: -10 + -18 = -28
-4y = -28

Divide each side by '-4'.
y = 7

Simplifying
y = 7

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