10(y-3)+8y=20y-50

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Solution for 10(y-3)+8y=20y-50 equation:


Simplifying
10(y + -3) + 8y = 20y + -50

Reorder the terms:
10(-3 + y) + 8y = 20y + -50
(-3 * 10 + y * 10) + 8y = 20y + -50
(-30 + 10y) + 8y = 20y + -50

Combine like terms: 10y + 8y = 18y
-30 + 18y = 20y + -50

Reorder the terms:
-30 + 18y = -50 + 20y

Solving
-30 + 18y = -50 + 20y

Solving for variable 'y'.

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

Add '-20y' to each side of the equation.
-30 + 18y + -20y = -50 + 20y + -20y

Combine like terms: 18y + -20y = -2y
-30 + -2y = -50 + 20y + -20y

Combine like terms: 20y + -20y = 0
-30 + -2y = -50 + 0
-30 + -2y = -50

Add '30' to each side of the equation.
-30 + 30 + -2y = -50 + 30

Combine like terms: -30 + 30 = 0
0 + -2y = -50 + 30
-2y = -50 + 30

Combine like terms: -50 + 30 = -20
-2y = -20

Divide each side by '-2'.
y = 10

Simplifying
y = 10

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