.5(y+1)=.25(y+6)

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Solution for .5(y+1)=.25(y+6) equation:


Simplifying
0.5(y + 1) = 0.25(y + 6)

Reorder the terms:
0.5(1 + y) = 0.25(y + 6)
(1 * 0.5 + y * 0.5) = 0.25(y + 6)
(0.5 + 0.5y) = 0.25(y + 6)

Reorder the terms:
0.5 + 0.5y = 0.25(6 + y)
0.5 + 0.5y = (6 * 0.25 + y * 0.25)
0.5 + 0.5y = (1.5 + 0.25y)

Solving
0.5 + 0.5y = 1.5 + 0.25y

Solving for variable 'y'.

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

Add '-0.25y' to each side of the equation.
0.5 + 0.5y + -0.25y = 1.5 + 0.25y + -0.25y

Combine like terms: 0.5y + -0.25y = 0.25y
0.5 + 0.25y = 1.5 + 0.25y + -0.25y

Combine like terms: 0.25y + -0.25y = 0.00
0.5 + 0.25y = 1.5 + 0.00
0.5 + 0.25y = 1.5

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 0.25y = 1.5 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.25y = 1.5 + -0.5
0.25y = 1.5 + -0.5

Combine like terms: 1.5 + -0.5 = 1
0.25y = 1

Divide each side by '0.25'.
y = 4

Simplifying
y = 4

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