(7y+3)=(8y-3)

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


Simplifying
(7y + 3) = (8y + -3)

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

Remove parenthesis around (3 + 7y)
3 + 7y = (8y + -3)

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

Remove parenthesis around (-3 + 8y)
3 + 7y = -3 + 8y

Solving
3 + 7y = -3 + 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.
3 + 7y + -8y = -3 + 8y + -8y

Combine like terms: 7y + -8y = -1y
3 + -1y = -3 + 8y + -8y

Combine like terms: 8y + -8y = 0
3 + -1y = -3 + 0
3 + -1y = -3

Add '-3' to each side of the equation.
3 + -3 + -1y = -3 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = -3 + -3
-1y = -3 + -3

Combine like terms: -3 + -3 = -6
-1y = -6

Divide each side by '-1'.
y = 6

Simplifying
y = 6

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