y-2=0.75(y+6)

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Solution for y-2=0.75(y+6) equation: 


Simplifying
y + -2 = 0.75(y + 6)

Reorder the terms:
-2 + y = 0.75(y + 6)

Reorder the terms:
-2 + y = 0.75(6 + y)
-2 + y = (6 * 0.75 + y * 0.75)
-2 + y = (4.5 + 0.75y)

Solving
-2 + y = 4.5 + 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.
-2 + y + -0.75y = 4.5 + 0.75y + -0.75y

Combine like terms: y + -0.75y = 0.25y
-2 + 0.25y = 4.5 + 0.75y + -0.75y

Combine like terms: 0.75y + -0.75y = 0.00
-2 + 0.25y = 4.5 + 0.00
-2 + 0.25y = 4.5

Add '2' to each side of the equation.
-2 + 2 + 0.25y = 4.5 + 2

Combine like terms: -2 + 2 = 0
0 + 0.25y = 4.5 + 2
0.25y = 4.5 + 2

Combine like terms: 4.5 + 2 = 6.5
0.25y = 6.5

Divide each side by '0.25'.
y = 26

Simplifying
y = 26

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