3(y-0.5)=4.5+2(y+1)

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Solution for 3(y-0.5)=4.5+2(y+1) equation: 


Simplifying
3(y + -0.5) = 4.5 + 2(y + 1)

Reorder the terms:
3(-0.5 + y) = 4.5 + 2(y + 1)
(-0.5 * 3 + y * 3) = 4.5 + 2(y + 1)
(-1.5 + 3y) = 4.5 + 2(y + 1)

Reorder the terms:
-1.5 + 3y = 4.5 + 2(1 + y)
-1.5 + 3y = 4.5 + (1 * 2 + y * 2)
-1.5 + 3y = 4.5 + (2 + 2y)

Combine like terms: 4.5 + 2 = 6.5
-1.5 + 3y = 6.5 + 2y

Solving
-1.5 + 3y = 6.5 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-1.5 + 3y + -2y = 6.5 + 2y + -2y

Combine like terms: 3y + -2y = 1y
-1.5 + 1y = 6.5 + 2y + -2y

Combine like terms: 2y + -2y = 0
-1.5 + 1y = 6.5 + 0
-1.5 + 1y = 6.5

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 1y = 6.5 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 1y = 6.5 + 1.5
1y = 6.5 + 1.5

Combine like terms: 6.5 + 1.5 = 8
1y = 8

Divide each side by '1'.
y = 8

Simplifying
y = 8

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