28-.66(6y+15)=8y-6

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Solution for 28-.66(6y+15)=8y-6 equation:


Simplifying
28 + -0.66(6y + 15) = 8y + -6

Reorder the terms:
28 + -0.66(15 + 6y) = 8y + -6
28 + (15 * -0.66 + 6y * -0.66) = 8y + -6
28 + (-9.9 + -3.96y) = 8y + -6

Combine like terms: 28 + -9.9 = 18.1
18.1 + -3.96y = 8y + -6

Reorder the terms:
18.1 + -3.96y = -6 + 8y

Solving
18.1 + -3.96y = -6 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
18.1 + -3.96y + -8y = -6 + 8y + -8y

Combine like terms: -3.96y + -8y = -11.96y
18.1 + -11.96y = -6 + 8y + -8y

Combine like terms: 8y + -8y = 0
18.1 + -11.96y = -6 + 0
18.1 + -11.96y = -6

Add '-18.1' to each side of the equation.
18.1 + -18.1 + -11.96y = -6 + -18.1

Combine like terms: 18.1 + -18.1 = 0.0
0.0 + -11.96y = -6 + -18.1
-11.96y = -6 + -18.1

Combine like terms: -6 + -18.1 = -24.1
-11.96y = -24.1

Divide each side by '-11.96'.
y = 2.015050167

Simplifying
y = 2.015050167

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