4y+5+y+10+2y-4=10y-10

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Solution for 4y+5+y+10+2y-4=10y-10 equation:


Simplifying
4y + 5 + y + 10 + 2y + -4 = 10y + -10

Reorder the terms:
5 + 10 + -4 + 4y + y + 2y = 10y + -10

Combine like terms: 5 + 10 = 15
15 + -4 + 4y + y + 2y = 10y + -10

Combine like terms: 15 + -4 = 11
11 + 4y + y + 2y = 10y + -10

Combine like terms: 4y + y = 5y
11 + 5y + 2y = 10y + -10

Combine like terms: 5y + 2y = 7y
11 + 7y = 10y + -10

Reorder the terms:
11 + 7y = -10 + 10y

Solving
11 + 7y = -10 + 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.
11 + 7y + -10y = -10 + 10y + -10y

Combine like terms: 7y + -10y = -3y
11 + -3y = -10 + 10y + -10y

Combine like terms: 10y + -10y = 0
11 + -3y = -10 + 0
11 + -3y = -10

Add '-11' to each side of the equation.
11 + -11 + -3y = -10 + -11

Combine like terms: 11 + -11 = 0
0 + -3y = -10 + -11
-3y = -10 + -11

Combine like terms: -10 + -11 = -21
-3y = -21

Divide each side by '-3'.
y = 7

Simplifying
y = 7

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