4y-8+.5*(3y+9)=90

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Solution for 4y-8+.5*(3y+9)=90 equation: 


Simplifying
4y + -8 + 0.5(3y + 9) = 90

Reorder the terms:
4y + -8 + 0.5(9 + 3y) = 90
4y + -8 + (9 * 0.5 + 3y * 0.5) = 90
4y + -8 + (4.5 + 1.5y) = 90

Reorder the terms:
-8 + 4.5 + 4y + 1.5y = 90

Combine like terms: -8 + 4.5 = -3.5
-3.5 + 4y + 1.5y = 90

Combine like terms: 4y + 1.5y = 5.5y
-3.5 + 5.5y = 90

Solving
-3.5 + 5.5y = 90

Solving for variable 'y'.

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

Add '3.5' to each side of the equation.
-3.5 + 3.5 + 5.5y = 90 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + 5.5y = 90 + 3.5
5.5y = 90 + 3.5

Combine like terms: 90 + 3.5 = 93.5
5.5y = 93.5

Divide each side by '5.5'.
y = 17

Simplifying
y = 17

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