7y-8+24=3y-18

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Solution for 7y-8+24=3y-18 equation:


Simplifying
7y + -8 + 24 = 3y + -18

Reorder the terms:
-8 + 24 + 7y = 3y + -18

Combine like terms: -8 + 24 = 16
16 + 7y = 3y + -18

Reorder the terms:
16 + 7y = -18 + 3y

Solving
16 + 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.
16 + 7y + -3y = -18 + 3y + -3y

Combine like terms: 7y + -3y = 4y
16 + 4y = -18 + 3y + -3y

Combine like terms: 3y + -3y = 0
16 + 4y = -18 + 0
16 + 4y = -18

Add '-16' to each side of the equation.
16 + -16 + 4y = -18 + -16

Combine like terms: 16 + -16 = 0
0 + 4y = -18 + -16
4y = -18 + -16

Combine like terms: -18 + -16 = -34
4y = -34

Divide each side by '4'.
y = -8.5

Simplifying
y = -8.5

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