4(8-13)=y-5

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Solution for 4(8-13)=y-5 equation:


Simplifying
4(8 + -13) = y + -5

Combine like terms: 8 + -13 = -5
4(-5) = y + -5

Multiply 4 * -5
-20 = y + -5

Reorder the terms:
-20 = -5 + y

Solving
-20 = -5 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-20 + -1y = -5 + y + -1y

Combine like terms: y + -1y = 0
-20 + -1y = -5 + 0
-20 + -1y = -5

Add '20' to each side of the equation.
-20 + 20 + -1y = -5 + 20

Combine like terms: -20 + 20 = 0
0 + -1y = -5 + 20
-1y = -5 + 20

Combine like terms: -5 + 20 = 15
-1y = 15

Divide each side by '-1'.
y = -15

Simplifying
y = -15

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