2y+48=5y-9

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Solution for 2y+48=5y-9 equation: 


Simplifying
2y + 48 = 5y + -9

Reorder the terms:
48 + 2y = 5y + -9

Reorder the terms:
48 + 2y = -9 + 5y

Solving
48 + 2y = -9 + 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.
48 + 2y + -5y = -9 + 5y + -5y

Combine like terms: 2y + -5y = -3y
48 + -3y = -9 + 5y + -5y

Combine like terms: 5y + -5y = 0
48 + -3y = -9 + 0
48 + -3y = -9

Add '-48' to each side of the equation.
48 + -48 + -3y = -9 + -48

Combine like terms: 48 + -48 = 0
0 + -3y = -9 + -48
-3y = -9 + -48

Combine like terms: -9 + -48 = -57
-3y = -57

Divide each side by '-3'.
y = 19

Simplifying
y = 19

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