y=3(.75y-6)+13

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Solution for y=3(.75y-6)+13 equation: 


Simplifying
y = 3(0.75y + -6) + 13

Reorder the terms:
y = 3(-6 + 0.75y) + 13
y = (-6 * 3 + 0.75y * 3) + 13
y = (-18 + 2.25y) + 13

Reorder the terms:
y = -18 + 13 + 2.25y

Combine like terms: -18 + 13 = -5
y = -5 + 2.25y

Solving
y = -5 + 2.25y

Solving for variable 'y'.

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

Add '-2.25y' to each side of the equation.
y + -2.25y = -5 + 2.25y + -2.25y

Combine like terms: y + -2.25y = -1.25y
-1.25y = -5 + 2.25y + -2.25y

Combine like terms: 2.25y + -2.25y = 0.00
-1.25y = -5 + 0.00
-1.25y = -5

Divide each side by '-1.25'.
y = 4

Simplifying
y = 4

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