(Y+1)+(2x-3)+(4x-7)=180

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Solution for (Y+1)+(2x-3)+(4x-7)=180 equation:


Simplifying
(Y + 1) + (2x + -3) + (4x + -7) = 180

Reorder the terms:
(1 + Y) + (2x + -3) + (4x + -7) = 180

Remove parenthesis around (1 + Y)
1 + Y + (2x + -3) + (4x + -7) = 180

Reorder the terms:
1 + Y + (-3 + 2x) + (4x + -7) = 180

Remove parenthesis around (-3 + 2x)
1 + Y + -3 + 2x + (4x + -7) = 180

Reorder the terms:
1 + Y + -3 + 2x + (-7 + 4x) = 180

Remove parenthesis around (-7 + 4x)
1 + Y + -3 + 2x + -7 + 4x = 180

Reorder the terms:
1 + -3 + -7 + Y + 2x + 4x = 180

Combine like terms: 1 + -3 = -2
-2 + -7 + Y + 2x + 4x = 180

Combine like terms: -2 + -7 = -9
-9 + Y + 2x + 4x = 180

Combine like terms: 2x + 4x = 6x
-9 + Y + 6x = 180

Solving
-9 + Y + 6x = 180

Solving for variable 'Y'.

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

Add '9' to each side of the equation.
-9 + Y + 9 + 6x = 180 + 9

Reorder the terms:
-9 + 9 + Y + 6x = 180 + 9

Combine like terms: -9 + 9 = 0
0 + Y + 6x = 180 + 9
Y + 6x = 180 + 9

Combine like terms: 180 + 9 = 189
Y + 6x = 189

Add '-6x' to each side of the equation.
Y + 6x + -6x = 189 + -6x

Combine like terms: 6x + -6x = 0
Y + 0 = 189 + -6x
Y = 189 + -6x

Simplifying
Y = 189 + -6x

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