0.5(7y-4)+y=3y-0.5(6-5y)

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Solution for 0.5(7y-4)+y=3y-0.5(6-5y) equation:


Simplifying
0.5(7y + -4) + y = 3y + -0.5(6 + -5y)

Reorder the terms:
0.5(-4 + 7y) + y = 3y + -0.5(6 + -5y)
(-4 * 0.5 + 7y * 0.5) + y = 3y + -0.5(6 + -5y)
(-2 + 3.5y) + y = 3y + -0.5(6 + -5y)

Combine like terms: 3.5y + y = 4.5y
-2 + 4.5y = 3y + -0.5(6 + -5y)
-2 + 4.5y = 3y + (6 * -0.5 + -5y * -0.5)
-2 + 4.5y = 3y + (-3 + 2.5y)

Reorder the terms:
-2 + 4.5y = -3 + 3y + 2.5y

Combine like terms: 3y + 2.5y = 5.5y
-2 + 4.5y = -3 + 5.5y

Solving
-2 + 4.5y = -3 + 5.5y

Solving for variable 'y'.

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

Add '-5.5y' to each side of the equation.
-2 + 4.5y + -5.5y = -3 + 5.5y + -5.5y

Combine like terms: 4.5y + -5.5y = -1y
-2 + -1y = -3 + 5.5y + -5.5y

Combine like terms: 5.5y + -5.5y = 0.0
-2 + -1y = -3 + 0.0
-2 + -1y = -3

Add '2' to each side of the equation.
-2 + 2 + -1y = -3 + 2

Combine like terms: -2 + 2 = 0
0 + -1y = -3 + 2
-1y = -3 + 2

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

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

Simplifying
y = 1

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