1.5(3y-1)+2=5y

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Solution for 1.5(3y-1)+2=5y equation: 


Simplifying
1.5(3y + -1) + 2 = 5y

Reorder the terms:
1.5(-1 + 3y) + 2 = 5y
(-1 * 1.5 + 3y * 1.5) + 2 = 5y
(-1.5 + 4.5y) + 2 = 5y

Reorder the terms:
-1.5 + 2 + 4.5y = 5y

Combine like terms: -1.5 + 2 = 0.5
0.5 + 4.5y = 5y

Solving
0.5 + 4.5y = 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
0.5 + 4.5y + -5y = 5y + -5y

Combine like terms: 4.5y + -5y = -0.5y
0.5 + -0.5y = 5y + -5y

Combine like terms: 5y + -5y = 0
0.5 + -0.5y = 0

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -0.5y = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.5y = 0 + -0.5
-0.5y = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.5y = -0.5

Divide each side by '-0.5'.
y = 1

Simplifying
y = 1

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