5(y-9)-3=-18-y

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Solution for 5(y-9)-3=-18-y equation:


Simplifying
5(y + -9) + -3 = -18 + -1y

Reorder the terms:
5(-9 + y) + -3 = -18 + -1y
(-9 * 5 + y * 5) + -3 = -18 + -1y
(-45 + 5y) + -3 = -18 + -1y

Reorder the terms:
-45 + -3 + 5y = -18 + -1y

Combine like terms: -45 + -3 = -48
-48 + 5y = -18 + -1y

Solving
-48 + 5y = -18 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-48 + 5y + y = -18 + -1y + y

Combine like terms: 5y + y = 6y
-48 + 6y = -18 + -1y + y

Combine like terms: -1y + y = 0
-48 + 6y = -18 + 0
-48 + 6y = -18

Add '48' to each side of the equation.
-48 + 48 + 6y = -18 + 48

Combine like terms: -48 + 48 = 0
0 + 6y = -18 + 48
6y = -18 + 48

Combine like terms: -18 + 48 = 30
6y = 30

Divide each side by '6'.
y = 5

Simplifying
y = 5

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