y=10+.75(y-10)+20+10

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Solution for y=10+.75(y-10)+20+10 equation: 


Simplifying
y = 10 + 0.75(y + -10) + 20 + 10

Reorder the terms:
y = 10 + 0.75(-10 + y) + 20 + 10
y = 10 + (-10 * 0.75 + y * 0.75) + 20 + 10
y = 10 + (-7.5 + 0.75y) + 20 + 10

Reorder the terms:
y = 10 + -7.5 + 20 + 10 + 0.75y

Combine like terms: 10 + -7.5 = 2.5
y = 2.5 + 20 + 10 + 0.75y

Combine like terms: 2.5 + 20 = 22.5
y = 22.5 + 10 + 0.75y

Combine like terms: 22.5 + 10 = 32.5
y = 32.5 + 0.75y

Solving
y = 32.5 + 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.
y + -0.75y = 32.5 + 0.75y + -0.75y

Combine like terms: y + -0.75y = 0.25y
0.25y = 32.5 + 0.75y + -0.75y

Combine like terms: 0.75y + -0.75y = 0.00
0.25y = 32.5 + 0.00
0.25y = 32.5

Divide each side by '0.25'.
y = 130

Simplifying
y = 130

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