3y+27=10y+20

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Solution for 3y+27=10y+20 equation:


Simplifying
3y + 27 = 10y + 20

Reorder the terms:
27 + 3y = 10y + 20

Reorder the terms:
27 + 3y = 20 + 10y

Solving
27 + 3y = 20 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
27 + 3y + -10y = 20 + 10y + -10y

Combine like terms: 3y + -10y = -7y
27 + -7y = 20 + 10y + -10y

Combine like terms: 10y + -10y = 0
27 + -7y = 20 + 0
27 + -7y = 20

Add '-27' to each side of the equation.
27 + -27 + -7y = 20 + -27

Combine like terms: 27 + -27 = 0
0 + -7y = 20 + -27
-7y = 20 + -27

Combine like terms: 20 + -27 = -7
-7y = -7

Divide each side by '-7'.
y = 1

Simplifying
y = 1

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