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Simplifying -1y + -3 + -2x + -2(-4 + y) = -2y + 11 + -2y + -2x -1y + -3 + -2x + (-4 * -2 + y * -2) = -2y + 11 + -2y + -2x -1y + -3 + -2x + (8 + -2y) = -2y + 11 + -2y + -2x Reorder the terms: -3 + 8 + -2x + -1y + -2y = -2y + 11 + -2y + -2x Combine like terms: -3 + 8 = 5 5 + -2x + -1y + -2y = -2y + 11 + -2y + -2x Combine like terms: -1y + -2y = -3y 5 + -2x + -3y = -2y + 11 + -2y + -2x Reorder the terms: 5 + -2x + -3y = 11 + -2x + -2y + -2y Combine like terms: -2y + -2y = -4y 5 + -2x + -3y = 11 + -2x + -4y Add '2x' to each side of the equation. 5 + -2x + 2x + -3y = 11 + -2x + 2x + -4y Combine like terms: -2x + 2x = 0 5 + 0 + -3y = 11 + -2x + 2x + -4y 5 + -3y = 11 + -2x + 2x + -4y Combine like terms: -2x + 2x = 0 5 + -3y = 11 + 0 + -4y 5 + -3y = 11 + -4y Solving 5 + -3y = 11 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 5 + -3y + 4y = 11 + -4y + 4y Combine like terms: -3y + 4y = 1y 5 + 1y = 11 + -4y + 4y Combine like terms: -4y + 4y = 0 5 + 1y = 11 + 0 5 + 1y = 11 Add '-5' to each side of the equation. 5 + -5 + 1y = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 1y = 11 + -5 1y = 11 + -5 Combine like terms: 11 + -5 = 6 1y = 6 Divide each side by '1'. y = 6 Simplifying y = 6
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