4y-10+y+24=6y+20+3y

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Solution for 4y-10+y+24=6y+20+3y equation:


Simplifying
4y + -10 + y + 24 = 6y + 20 + 3y

Reorder the terms:
-10 + 24 + 4y + y = 6y + 20 + 3y

Combine like terms: -10 + 24 = 14
14 + 4y + y = 6y + 20 + 3y

Combine like terms: 4y + y = 5y
14 + 5y = 6y + 20 + 3y

Reorder the terms:
14 + 5y = 20 + 6y + 3y

Combine like terms: 6y + 3y = 9y
14 + 5y = 20 + 9y

Solving
14 + 5y = 20 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
14 + 5y + -9y = 20 + 9y + -9y

Combine like terms: 5y + -9y = -4y
14 + -4y = 20 + 9y + -9y

Combine like terms: 9y + -9y = 0
14 + -4y = 20 + 0
14 + -4y = 20

Add '-14' to each side of the equation.
14 + -14 + -4y = 20 + -14

Combine like terms: 14 + -14 = 0
0 + -4y = 20 + -14
-4y = 20 + -14

Combine like terms: 20 + -14 = 6
-4y = 6

Divide each side by '-4'.
y = -1.5

Simplifying
y = -1.5

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