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Simplifying -1[2(2 + -1x) + -1(2y + -3)] + -5y = 4(y + 3) -1[(2 * 2 + -1x * 2) + -1(2y + -3)] + -5y = 4(y + 3) -1[(4 + -2x) + -1(2y + -3)] + -5y = 4(y + 3) Reorder the terms: -1[4 + -2x + -1(-3 + 2y)] + -5y = 4(y + 3) -1[4 + -2x + (-3 * -1 + 2y * -1)] + -5y = 4(y + 3) -1[4 + -2x + (3 + -2y)] + -5y = 4(y + 3) Reorder the terms: -1[4 + 3 + -2x + -2y] + -5y = 4(y + 3) Combine like terms: 4 + 3 = 7 -1[7 + -2x + -2y] + -5y = 4(y + 3) [7 * -1 + -2x * -1 + -2y * -1] + -5y = 4(y + 3) [-7 + 2x + 2y] + -5y = 4(y + 3) Combine like terms: 2y + -5y = -3y -7 + 2x + -3y = 4(y + 3) Reorder the terms: -7 + 2x + -3y = 4(3 + y) -7 + 2x + -3y = (3 * 4 + y * 4) -7 + 2x + -3y = (12 + 4y) Solving -7 + 2x + -3y = 12 + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 2x + 7 + -3y = 12 + 7 + 4y Reorder the terms: -7 + 7 + 2x + -3y = 12 + 7 + 4y Combine like terms: -7 + 7 = 0 0 + 2x + -3y = 12 + 7 + 4y 2x + -3y = 12 + 7 + 4y Combine like terms: 12 + 7 = 19 2x + -3y = 19 + 4y Add '3y' to each side of the equation. 2x + -3y + 3y = 19 + 4y + 3y Combine like terms: -3y + 3y = 0 2x + 0 = 19 + 4y + 3y 2x = 19 + 4y + 3y Combine like terms: 4y + 3y = 7y 2x = 19 + 7y Divide each side by '2'. x = 9.5 + 3.5y Simplifying x = 9.5 + 3.5y
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