17-3(4y-5)=0.5(8-3y)

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Solution for 17-3(4y-5)=0.5(8-3y) equation: 


Simplifying
17 + -3(4y + -5) = 0.5(8 + -3y)

Reorder the terms:
17 + -3(-5 + 4y) = 0.5(8 + -3y)
17 + (-5 * -3 + 4y * -3) = 0.5(8 + -3y)
17 + (15 + -12y) = 0.5(8 + -3y)

Combine like terms: 17 + 15 = 32
32 + -12y = 0.5(8 + -3y)
32 + -12y = (8 * 0.5 + -3y * 0.5)
32 + -12y = (4 + -1.5y)

Solving
32 + -12y = 4 + -1.5y

Solving for variable 'y'.

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

Add '1.5y' to each side of the equation.
32 + -12y + 1.5y = 4 + -1.5y + 1.5y

Combine like terms: -12y + 1.5y = -10.5y
32 + -10.5y = 4 + -1.5y + 1.5y

Combine like terms: -1.5y + 1.5y = 0.0
32 + -10.5y = 4 + 0.0
32 + -10.5y = 4

Add '-32' to each side of the equation.
32 + -32 + -10.5y = 4 + -32

Combine like terms: 32 + -32 = 0
0 + -10.5y = 4 + -32
-10.5y = 4 + -32

Combine like terms: 4 + -32 = -28
-10.5y = -28

Divide each side by '-10.5'.
y = 2.666666667

Simplifying
y = 2.666666667

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