3y-10=4y+20

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Solution for 3y-10=4y+20 equation:


Simplifying
3y + -10 = 4y + 20

Reorder the terms:
-10 + 3y = 4y + 20

Reorder the terms:
-10 + 3y = 20 + 4y

Solving
-10 + 3y = 20 + 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.
-10 + 3y + -4y = 20 + 4y + -4y

Combine like terms: 3y + -4y = -1y
-10 + -1y = 20 + 4y + -4y

Combine like terms: 4y + -4y = 0
-10 + -1y = 20 + 0
-10 + -1y = 20

Add '10' to each side of the equation.
-10 + 10 + -1y = 20 + 10

Combine like terms: -10 + 10 = 0
0 + -1y = 20 + 10
-1y = 20 + 10

Combine like terms: 20 + 10 = 30
-1y = 30

Divide each side by '-1'.
y = -30

Simplifying
y = -30

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