40+4Y-10=15Y-12-4Y

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Solution for 40+4Y-10=15Y-12-4Y equation: 


Simplifying
40 + 4Y + -10 = 15Y + -12 + -4Y

Reorder the terms:
40 + -10 + 4Y = 15Y + -12 + -4Y

Combine like terms: 40 + -10 = 30
30 + 4Y = 15Y + -12 + -4Y

Reorder the terms:
30 + 4Y = -12 + 15Y + -4Y

Combine like terms: 15Y + -4Y = 11Y
30 + 4Y = -12 + 11Y

Solving
30 + 4Y = -12 + 11Y

Solving for variable 'Y'.

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

Add '-11Y' to each side of the equation.
30 + 4Y + -11Y = -12 + 11Y + -11Y

Combine like terms: 4Y + -11Y = -7Y
30 + -7Y = -12 + 11Y + -11Y

Combine like terms: 11Y + -11Y = 0
30 + -7Y = -12 + 0
30 + -7Y = -12

Add '-30' to each side of the equation.
30 + -30 + -7Y = -12 + -30

Combine like terms: 30 + -30 = 0
0 + -7Y = -12 + -30
-7Y = -12 + -30

Combine like terms: -12 + -30 = -42
-7Y = -42

Divide each side by '-7'.
Y = 6

Simplifying
Y = 6

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