(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)

Remove parenthesis around (10 + 3y)
10 + 3y = (4y + -20)

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

Remove parenthesis around (-20 + 4y)
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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