y-7=0.75(y+2)

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Solution for y-7=0.75(y+2) equation: 


Simplifying
y + -7 = 0.75(y + 2)

Reorder the terms:
-7 + y = 0.75(y + 2)

Reorder the terms:
-7 + y = 0.75(2 + y)
-7 + y = (2 * 0.75 + y * 0.75)
-7 + y = (1.5 + 0.75y)

Solving
-7 + y = 1.5 + 0.75y

Solving for variable 'y'.

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

Add '-0.75y' to each side of the equation.
-7 + y + -0.75y = 1.5 + 0.75y + -0.75y

Combine like terms: y + -0.75y = 0.25y
-7 + 0.25y = 1.5 + 0.75y + -0.75y

Combine like terms: 0.75y + -0.75y = 0.00
-7 + 0.25y = 1.5 + 0.00
-7 + 0.25y = 1.5

Add '7' to each side of the equation.
-7 + 7 + 0.25y = 1.5 + 7

Combine like terms: -7 + 7 = 0
0 + 0.25y = 1.5 + 7
0.25y = 1.5 + 7

Combine like terms: 1.5 + 7 = 8.5
0.25y = 8.5

Divide each side by '0.25'.
y = 34

Simplifying
y = 34

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