10r+12+8y+1+1=5y+10r+5y

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Solution for 10r+12+8y+1+1=5y+10r+5y equation:


Simplifying
10r + 12 + 8y + 1 + 1 = 5y + 10r + 5y

Reorder the terms:
12 + 1 + 1 + 10r + 8y = 5y + 10r + 5y

Combine like terms: 12 + 1 = 13
13 + 1 + 10r + 8y = 5y + 10r + 5y

Combine like terms: 13 + 1 = 14
14 + 10r + 8y = 5y + 10r + 5y

Reorder the terms:
14 + 10r + 8y = 10r + 5y + 5y

Combine like terms: 5y + 5y = 10y
14 + 10r + 8y = 10r + 10y

Add '-10r' to each side of the equation.
14 + 10r + -10r + 8y = 10r + -10r + 10y

Combine like terms: 10r + -10r = 0
14 + 0 + 8y = 10r + -10r + 10y
14 + 8y = 10r + -10r + 10y

Combine like terms: 10r + -10r = 0
14 + 8y = 0 + 10y
14 + 8y = 10y

Solving
14 + 8y = 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.
14 + 8y + -10y = 10y + -10y

Combine like terms: 8y + -10y = -2y
14 + -2y = 10y + -10y

Combine like terms: 10y + -10y = 0
14 + -2y = 0

Add '-14' to each side of the equation.
14 + -14 + -2y = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -2y = 0 + -14
-2y = 0 + -14

Combine like terms: 0 + -14 = -14
-2y = -14

Divide each side by '-2'.
y = 7

Simplifying
y = 7

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