6(9-y)-4y=-11+3(y-21)

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Solution for 6(9-y)-4y=-11+3(y-21) equation:


Simplifying
6(9 + -1y) + -4y = -11 + 3(y + -21)
(9 * 6 + -1y * 6) + -4y = -11 + 3(y + -21)
(54 + -6y) + -4y = -11 + 3(y + -21)

Combine like terms: -6y + -4y = -10y
54 + -10y = -11 + 3(y + -21)

Reorder the terms:
54 + -10y = -11 + 3(-21 + y)
54 + -10y = -11 + (-21 * 3 + y * 3)
54 + -10y = -11 + (-63 + 3y)

Combine like terms: -11 + -63 = -74
54 + -10y = -74 + 3y

Solving
54 + -10y = -74 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
54 + -10y + -3y = -74 + 3y + -3y

Combine like terms: -10y + -3y = -13y
54 + -13y = -74 + 3y + -3y

Combine like terms: 3y + -3y = 0
54 + -13y = -74 + 0
54 + -13y = -74

Add '-54' to each side of the equation.
54 + -54 + -13y = -74 + -54

Combine like terms: 54 + -54 = 0
0 + -13y = -74 + -54
-13y = -74 + -54

Combine like terms: -74 + -54 = -128
-13y = -128

Divide each side by '-13'.
y = 9.846153846

Simplifying
y = 9.846153846

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