y=5(y+5.66)+7

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Solution for y=5(y+5.66)+7 equation: 


Simplifying
y = 5(y + 5.66) + 7

Reorder the terms:
y = 5(5.66 + y) + 7
y = (5.66 * 5 + y * 5) + 7
y = (28.3 + 5y) + 7

Reorder the terms:
y = 28.3 + 7 + 5y

Combine like terms: 28.3 + 7 = 35.3
y = 35.3 + 5y

Solving
y = 35.3 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
y + -5y = 35.3 + 5y + -5y

Combine like terms: y + -5y = -4y
-4y = 35.3 + 5y + -5y

Combine like terms: 5y + -5y = 0
-4y = 35.3 + 0
-4y = 35.3

Divide each side by '-4'.
y = -8.825

Simplifying
y = -8.825

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