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Simplifying 264 = (xy) + (7(y + 1)) + (2(y + 2)) 264 = xy + (7(y + 1)) + (2(y + 2)) Reorder the terms: 264 = xy + (7(1 + y)) + (2(y + 2)) 264 = xy + ((1 * 7 + y * 7)) + (2(y + 2)) 264 = xy + ((7 + 7y)) + (2(y + 2)) 264 = xy + (7 + 7y) + (2(y + 2)) Remove parenthesis around (7 + 7y) 264 = xy + 7 + 7y + (2(y + 2)) Reorder the terms: 264 = xy + 7 + 7y + (2(2 + y)) 264 = xy + 7 + 7y + ((2 * 2 + y * 2)) 264 = xy + 7 + 7y + ((4 + 2y)) 264 = xy + 7 + 7y + (4 + 2y) Remove parenthesis around (4 + 2y) 264 = xy + 7 + 7y + 4 + 2y Reorder the terms: 264 = 7 + 4 + xy + 7y + 2y Combine like terms: 7 + 4 = 11 264 = 11 + xy + 7y + 2y Combine like terms: 7y + 2y = 9y 264 = 11 + xy + 9y Solving 264 = 11 + xy + 9y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1xy' to each side of the equation. 264 + -1xy = 11 + xy + -1xy + 9y Combine like terms: xy + -1xy = 0 264 + -1xy = 11 + 0 + 9y 264 + -1xy = 11 + 9y Add '-264' to each side of the equation. 264 + -264 + -1xy = 11 + -264 + 9y Combine like terms: 264 + -264 = 0 0 + -1xy = 11 + -264 + 9y -1xy = 11 + -264 + 9y Combine like terms: 11 + -264 = -253 -1xy = -253 + 9y Divide each side by '-1y'. x = 253y-1 + -9 Simplifying x = 253y-1 + -9 Reorder the terms: x = -9 + 253y-1
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