3y-5=0.5*4y+2

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Solution for 3y-5=0.5*4y+2 equation:


Simplifying
3y + -5 = 0.5 * 4y + 2

Reorder the terms:
-5 + 3y = 0.5 * 4y + 2

Multiply 0.5 * 4
-5 + 3y = 2y + 2

Reorder the terms:
-5 + 3y = 2 + 2y

Solving
-5 + 3y = 2 + 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.
-5 + 3y + -2y = 2 + 2y + -2y

Combine like terms: 3y + -2y = 1y
-5 + 1y = 2 + 2y + -2y

Combine like terms: 2y + -2y = 0
-5 + 1y = 2 + 0
-5 + 1y = 2

Add '5' to each side of the equation.
-5 + 5 + 1y = 2 + 5

Combine like terms: -5 + 5 = 0
0 + 1y = 2 + 5
1y = 2 + 5

Combine like terms: 2 + 5 = 7
1y = 7

Divide each side by '1'.
y = 7

Simplifying
y = 7

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