2y+5=0.5(5y+3)

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Solution for 2y+5=0.5(5y+3) equation: 


Simplifying
2y + 5 = 0.5(5y + 3)

Reorder the terms:
5 + 2y = 0.5(5y + 3)

Reorder the terms:
5 + 2y = 0.5(3 + 5y)
5 + 2y = (3 * 0.5 + 5y * 0.5)
5 + 2y = (1.5 + 2.5y)

Solving
5 + 2y = 1.5 + 2.5y

Solving for variable 'y'.

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

Add '-2.5y' to each side of the equation.
5 + 2y + -2.5y = 1.5 + 2.5y + -2.5y

Combine like terms: 2y + -2.5y = -0.5y
5 + -0.5y = 1.5 + 2.5y + -2.5y

Combine like terms: 2.5y + -2.5y = 0.0
5 + -0.5y = 1.5 + 0.0
5 + -0.5y = 1.5

Add '-5' to each side of the equation.
5 + -5 + -0.5y = 1.5 + -5

Combine like terms: 5 + -5 = 0
0 + -0.5y = 1.5 + -5
-0.5y = 1.5 + -5

Combine like terms: 1.5 + -5 = -3.5
-0.5y = -3.5

Divide each side by '-0.5'.
y = 7

Simplifying
y = 7

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