-54+13y+9=4(5y-3)-5

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Solution for -54+13y+9=4(5y-3)-5 equation:


Simplifying
-54 + 13y + 9 = 4(5y + -3) + -5

Reorder the terms:
-54 + 9 + 13y = 4(5y + -3) + -5

Combine like terms: -54 + 9 = -45
-45 + 13y = 4(5y + -3) + -5

Reorder the terms:
-45 + 13y = 4(-3 + 5y) + -5
-45 + 13y = (-3 * 4 + 5y * 4) + -5
-45 + 13y = (-12 + 20y) + -5

Reorder the terms:
-45 + 13y = -12 + -5 + 20y

Combine like terms: -12 + -5 = -17
-45 + 13y = -17 + 20y

Solving
-45 + 13y = -17 + 20y

Solving for variable 'y'.

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

Add '-20y' to each side of the equation.
-45 + 13y + -20y = -17 + 20y + -20y

Combine like terms: 13y + -20y = -7y
-45 + -7y = -17 + 20y + -20y

Combine like terms: 20y + -20y = 0
-45 + -7y = -17 + 0
-45 + -7y = -17

Add '45' to each side of the equation.
-45 + 45 + -7y = -17 + 45

Combine like terms: -45 + 45 = 0
0 + -7y = -17 + 45
-7y = -17 + 45

Combine like terms: -17 + 45 = 28
-7y = 28

Divide each side by '-7'.
y = -4

Simplifying
y = -4

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