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