18-(4y-5)-8=5y-3

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Solution for 18-(4y-5)-8=5y-3 equation:


Simplifying
18 + -1(4y + -5) + -8 = 5y + -3

Reorder the terms:
18 + -1(-5 + 4y) + -8 = 5y + -3
18 + (-5 * -1 + 4y * -1) + -8 = 5y + -3
18 + (5 + -4y) + -8 = 5y + -3

Reorder the terms:
18 + 5 + -8 + -4y = 5y + -3

Combine like terms: 18 + 5 = 23
23 + -8 + -4y = 5y + -3

Combine like terms: 23 + -8 = 15
15 + -4y = 5y + -3

Reorder the terms:
15 + -4y = -3 + 5y

Solving
15 + -4y = -3 + 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.
15 + -4y + -5y = -3 + 5y + -5y

Combine like terms: -4y + -5y = -9y
15 + -9y = -3 + 5y + -5y

Combine like terms: 5y + -5y = 0
15 + -9y = -3 + 0
15 + -9y = -3

Add '-15' to each side of the equation.
15 + -15 + -9y = -3 + -15

Combine like terms: 15 + -15 = 0
0 + -9y = -3 + -15
-9y = -3 + -15

Combine like terms: -3 + -15 = -18
-9y = -18

Divide each side by '-9'.
y = 2

Simplifying
y = 2

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