17-.33(27y+24)=-10y-11

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Solution for 17-.33(27y+24)=-10y-11 equation: 


Simplifying
17 + -0.33(27y + 24) = -10y + -11

Reorder the terms:
17 + -0.33(24 + 27y) = -10y + -11
17 + (24 * -0.33 + 27y * -0.33) = -10y + -11
17 + (-7.92 + -8.91y) = -10y + -11

Combine like terms: 17 + -7.92 = 9.08
9.08 + -8.91y = -10y + -11

Reorder the terms:
9.08 + -8.91y = -11 + -10y

Solving
9.08 + -8.91y = -11 + -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.
9.08 + -8.91y + 10y = -11 + -10y + 10y

Combine like terms: -8.91y + 10y = 1.09y
9.08 + 1.09y = -11 + -10y + 10y

Combine like terms: -10y + 10y = 0
9.08 + 1.09y = -11 + 0
9.08 + 1.09y = -11

Add '-9.08' to each side of the equation.
9.08 + -9.08 + 1.09y = -11 + -9.08

Combine like terms: 9.08 + -9.08 = 0.00
0.00 + 1.09y = -11 + -9.08
1.09y = -11 + -9.08

Combine like terms: -11 + -9.08 = -20.08
1.09y = -20.08

Divide each side by '1.09'.
y = -18.42201835

Simplifying
y = -18.42201835

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