7y-56+24=3y-18

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Solution for 7y-56+24=3y-18 equation:


Simplifying
7y + -56 + 24 = 3y + -18

Reorder the terms:
-56 + 24 + 7y = 3y + -18

Combine like terms: -56 + 24 = -32
-32 + 7y = 3y + -18

Reorder the terms:
-32 + 7y = -18 + 3y

Solving
-32 + 7y = -18 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-32 + 7y + -3y = -18 + 3y + -3y

Combine like terms: 7y + -3y = 4y
-32 + 4y = -18 + 3y + -3y

Combine like terms: 3y + -3y = 0
-32 + 4y = -18 + 0
-32 + 4y = -18

Add '32' to each side of the equation.
-32 + 32 + 4y = -18 + 32

Combine like terms: -32 + 32 = 0
0 + 4y = -18 + 32
4y = -18 + 32

Combine like terms: -18 + 32 = 14
4y = 14

Divide each side by '4'.
y = 3.5

Simplifying
y = 3.5

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