18-2(y-3)=5y+10

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Solution for 18-2(y-3)=5y+10 equation:


Simplifying
18 + -2(y + -3) = 5y + 10

Reorder the terms:
18 + -2(-3 + y) = 5y + 10
18 + (-3 * -2 + y * -2) = 5y + 10
18 + (6 + -2y) = 5y + 10

Combine like terms: 18 + 6 = 24
24 + -2y = 5y + 10

Reorder the terms:
24 + -2y = 10 + 5y

Solving
24 + -2y = 10 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
24 + -2y + -5y = 10 + 5y + -5y

Combine like terms: -2y + -5y = -7y
24 + -7y = 10 + 5y + -5y

Combine like terms: 5y + -5y = 0
24 + -7y = 10 + 0
24 + -7y = 10

Add '-24' to each side of the equation.
24 + -24 + -7y = 10 + -24

Combine like terms: 24 + -24 = 0
0 + -7y = 10 + -24
-7y = 10 + -24

Combine like terms: 10 + -24 = -14
-7y = -14

Divide each side by '-7'.
y = 2

Simplifying
y = 2

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