6(4-y)-55=-5(2y+3)

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Solution for 6(4-y)-55=-5(2y+3) equation:


Simplifying
6(4 + -1y) + -55 = -5(2y + 3)
(4 * 6 + -1y * 6) + -55 = -5(2y + 3)
(24 + -6y) + -55 = -5(2y + 3)

Reorder the terms:
24 + -55 + -6y = -5(2y + 3)

Combine like terms: 24 + -55 = -31
-31 + -6y = -5(2y + 3)

Reorder the terms:
-31 + -6y = -5(3 + 2y)
-31 + -6y = (3 * -5 + 2y * -5)
-31 + -6y = (-15 + -10y)

Solving
-31 + -6y = -15 + -10y

Solving for variable 'y'.

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

Add '10y' to each side of the equation.
-31 + -6y + 10y = -15 + -10y + 10y

Combine like terms: -6y + 10y = 4y
-31 + 4y = -15 + -10y + 10y

Combine like terms: -10y + 10y = 0
-31 + 4y = -15 + 0
-31 + 4y = -15

Add '31' to each side of the equation.
-31 + 31 + 4y = -15 + 31

Combine like terms: -31 + 31 = 0
0 + 4y = -15 + 31
4y = -15 + 31

Combine like terms: -15 + 31 = 16
4y = 16

Divide each side by '4'.
y = 4

Simplifying
y = 4

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