10y-(4+2x)+7(y+1)=

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Solution for 10y-(4+2x)+7(y+1)= equation:


Simplifying
10y + -1(4 + 2x) + 7(y + 1) = 0
10y + (4 * -1 + 2x * -1) + 7(y + 1) = 0
10y + (-4 + -2x) + 7(y + 1) = 0

Reorder the terms:
10y + -4 + -2x + 7(1 + y) = 0
10y + -4 + -2x + (1 * 7 + y * 7) = 0
10y + -4 + -2x + (7 + 7y) = 0

Reorder the terms:
-4 + 7 + -2x + 10y + 7y = 0

Combine like terms: -4 + 7 = 3
3 + -2x + 10y + 7y = 0

Combine like terms: 10y + 7y = 17y
3 + -2x + 17y = 0

Solving
3 + -2x + 17y = 0

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -2x + -3 + 17y = 0 + -3

Reorder the terms:
3 + -3 + -2x + 17y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x + 17y = 0 + -3
-2x + 17y = 0 + -3

Combine like terms: 0 + -3 = -3
-2x + 17y = -3

Add '-17y' to each side of the equation.
-2x + 17y + -17y = -3 + -17y

Combine like terms: 17y + -17y = 0
-2x + 0 = -3 + -17y
-2x = -3 + -17y

Divide each side by '-2'.
x = 1.5 + 8.5y

Simplifying
x = 1.5 + 8.5y

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