.5(3y-1)+.25(2y+9)=

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Solution for .5(3y-1)+.25(2y+9)= equation: 


Simplifying
0.5(3y + -1) + 0.25(2y + 9) = 0

Reorder the terms:
0.5(-1 + 3y) + 0.25(2y + 9) = 0
(-1 * 0.5 + 3y * 0.5) + 0.25(2y + 9) = 0
(-0.5 + 1.5y) + 0.25(2y + 9) = 0

Reorder the terms:
-0.5 + 1.5y + 0.25(9 + 2y) = 0
-0.5 + 1.5y + (9 * 0.25 + 2y * 0.25) = 0
-0.5 + 1.5y + (2.25 + 0.5y) = 0

Reorder the terms:
-0.5 + 2.25 + 1.5y + 0.5y = 0

Combine like terms: -0.5 + 2.25 = 1.75
1.75 + 1.5y + 0.5y = 0

Combine like terms: 1.5y + 0.5y = 2y
1.75 + 2y = 0

Solving
1.75 + 2y = 0

Solving for variable 'y'.

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

Add '-1.75' to each side of the equation.
1.75 + -1.75 + 2y = 0 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + 2y = 0 + -1.75
2y = 0 + -1.75

Combine like terms: 0 + -1.75 = -1.75
2y = -1.75

Divide each side by '2'.
y = -0.875

Simplifying
y = -0.875

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