8(x+6)-10+Y=3(x+12)+5x

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Solution for 8(x+6)-10+Y=3(x+12)+5x equation: 


Simplifying
8(x + 6) + -10 + Y = 3(x + 12) + 5x

Reorder the terms:
8(6 + x) + -10 + Y = 3(x + 12) + 5x
(6 * 8 + x * 8) + -10 + Y = 3(x + 12) + 5x
(48 + 8x) + -10 + Y = 3(x + 12) + 5x

Reorder the terms:
48 + -10 + Y + 8x = 3(x + 12) + 5x

Combine like terms: 48 + -10 = 38
38 + Y + 8x = 3(x + 12) + 5x

Reorder the terms:
38 + Y + 8x = 3(12 + x) + 5x
38 + Y + 8x = (12 * 3 + x * 3) + 5x
38 + Y + 8x = (36 + 3x) + 5x

Combine like terms: 3x + 5x = 8x
38 + Y + 8x = 36 + 8x

Add '-8x' to each side of the equation.
38 + Y + 8x + -8x = 36 + 8x + -8x

Combine like terms: 8x + -8x = 0
38 + Y + 0 = 36 + 8x + -8x
38 + Y = 36 + 8x + -8x

Combine like terms: 8x + -8x = 0
38 + Y = 36 + 0
38 + Y = 36

Solving
38 + Y = 36

Solving for variable 'Y'.

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

Add '-38' to each side of the equation.
38 + -38 + Y = 36 + -38

Combine like terms: 38 + -38 = 0
0 + Y = 36 + -38
Y = 36 + -38

Combine like terms: 36 + -38 = -2
Y = -2

Simplifying
Y = -2

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