52.4-0.6(y+9)=0.4y

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Solution for 52.4-0.6(y+9)=0.4y equation:


Simplifying
52.4 + -0.6(y + 9) = 0.4y

Reorder the terms:
52.4 + -0.6(9 + y) = 0.4y
52.4 + (9 * -0.6 + y * -0.6) = 0.4y
52.4 + (-5.4 + -0.6y) = 0.4y

Combine like terms: 52.4 + -5.4 = 47
47 + -0.6y = 0.4y

Solving
47 + -0.6y = 0.4y

Solving for variable 'y'.

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

Add '-0.4y' to each side of the equation.
47 + -0.6y + -0.4y = 0.4y + -0.4y

Combine like terms: -0.6y + -0.4y = -1y
47 + -1y = 0.4y + -0.4y

Combine like terms: 0.4y + -0.4y = 0.0
47 + -1y = 0.0

Add '-47' to each side of the equation.
47 + -47 + -1y = 0.0 + -47

Combine like terms: 47 + -47 = 0
0 + -1y = 0.0 + -47
-1y = 0.0 + -47

Combine like terms: 0.0 + -47 = -47
-1y = -47

Divide each side by '-1'.
y = 47

Simplifying
y = 47

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