3(.5y+.5)=4-y

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Solution for 3(.5y+.5)=4-y equation: 


Simplifying
3(0.5y + 0.5) = 4 + -1y

Reorder the terms:
3(0.5 + 0.5y) = 4 + -1y
(0.5 * 3 + 0.5y * 3) = 4 + -1y
(1.5 + 1.5y) = 4 + -1y

Solving
1.5 + 1.5y = 4 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
1.5 + 1.5y + y = 4 + -1y + y

Combine like terms: 1.5y + y = 2.5y
1.5 + 2.5y = 4 + -1y + y

Combine like terms: -1y + y = 0
1.5 + 2.5y = 4 + 0
1.5 + 2.5y = 4

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 2.5y = 4 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 2.5y = 4 + -1.5
2.5y = 4 + -1.5

Combine like terms: 4 + -1.5 = 2.5
2.5y = 2.5

Divide each side by '2.5'.
y = 1

Simplifying
y = 1

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