(-10y-20)-13=(-6y-48)+2y

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Solution for (-10y-20)-13=(-6y-48)+2y equation:


Simplifying
(-10y + -20) + -13 = (-6y + -48) + 2y

Reorder the terms:
(-20 + -10y) + -13 = (-6y + -48) + 2y

Remove parenthesis around (-20 + -10y)
-20 + -10y + -13 = (-6y + -48) + 2y

Reorder the terms:
-20 + -13 + -10y = (-6y + -48) + 2y

Combine like terms: -20 + -13 = -33
-33 + -10y = (-6y + -48) + 2y

Reorder the terms:
-33 + -10y = (-48 + -6y) + 2y

Remove parenthesis around (-48 + -6y)
-33 + -10y = -48 + -6y + 2y

Combine like terms: -6y + 2y = -4y
-33 + -10y = -48 + -4y

Solving
-33 + -10y = -48 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
-33 + -10y + 4y = -48 + -4y + 4y

Combine like terms: -10y + 4y = -6y
-33 + -6y = -48 + -4y + 4y

Combine like terms: -4y + 4y = 0
-33 + -6y = -48 + 0
-33 + -6y = -48

Add '33' to each side of the equation.
-33 + 33 + -6y = -48 + 33

Combine like terms: -33 + 33 = 0
0 + -6y = -48 + 33
-6y = -48 + 33

Combine like terms: -48 + 33 = -15
-6y = -15

Divide each side by '-6'.
y = 2.5

Simplifying
y = 2.5

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