y-7=.25(y+2)

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Solution for y-7=.25(y+2) equation: 


Simplifying
y + -7 = 0.25(y + 2)

Reorder the terms:
-7 + y = 0.25(y + 2)

Reorder the terms:
-7 + y = 0.25(2 + y)
-7 + y = (2 * 0.25 + y * 0.25)
-7 + y = (0.5 + 0.25y)

Solving
-7 + y = 0.5 + 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.
-7 + y + -0.25y = 0.5 + 0.25y + -0.25y

Combine like terms: y + -0.25y = 0.75y
-7 + 0.75y = 0.5 + 0.25y + -0.25y

Combine like terms: 0.25y + -0.25y = 0.00
-7 + 0.75y = 0.5 + 0.00
-7 + 0.75y = 0.5

Add '7' to each side of the equation.
-7 + 7 + 0.75y = 0.5 + 7

Combine like terms: -7 + 7 = 0
0 + 0.75y = 0.5 + 7
0.75y = 0.5 + 7

Combine like terms: 0.5 + 7 = 7.5
0.75y = 7.5

Divide each side by '0.75'.
y = 10

Simplifying
y = 10

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