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Simplifying -3y + 5 + 2(y + 1) = 2y + -1 Reorder the terms: -3y + 5 + 2(1 + y) = 2y + -1 -3y + 5 + (1 * 2 + y * 2) = 2y + -1 -3y + 5 + (2 + 2y) = 2y + -1 Reorder the terms: 5 + 2 + -3y + 2y = 2y + -1 Combine like terms: 5 + 2 = 7 7 + -3y + 2y = 2y + -1 Combine like terms: -3y + 2y = -1y 7 + -1y = 2y + -1 Reorder the terms: 7 + -1y = -1 + 2y Solving 7 + -1y = -1 + 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. 7 + -1y + -2y = -1 + 2y + -2y Combine like terms: -1y + -2y = -3y 7 + -3y = -1 + 2y + -2y Combine like terms: 2y + -2y = 0 7 + -3y = -1 + 0 7 + -3y = -1 Add '-7' to each side of the equation. 7 + -7 + -3y = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -3y = -1 + -7 -3y = -1 + -7 Combine like terms: -1 + -7 = -8 -3y = -8 Divide each side by '-3'. y = 2.666666667 Simplifying y = 2.666666667
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