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Simplifying 2(y + 1) + 7 = 3(y + -2) + 2r Reorder the terms: 2(1 + y) + 7 = 3(y + -2) + 2r (1 * 2 + y * 2) + 7 = 3(y + -2) + 2r (2 + 2y) + 7 = 3(y + -2) + 2r Reorder the terms: 2 + 7 + 2y = 3(y + -2) + 2r Combine like terms: 2 + 7 = 9 9 + 2y = 3(y + -2) + 2r Reorder the terms: 9 + 2y = 3(-2 + y) + 2r 9 + 2y = (-2 * 3 + y * 3) + 2r 9 + 2y = (-6 + 3y) + 2r Reorder the terms: 9 + 2y = -6 + 2r + 3y Solving 9 + 2y = -6 + 2r + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 9 + 2y + -3y = -6 + 2r + 3y + -3y Combine like terms: 2y + -3y = -1y 9 + -1y = -6 + 2r + 3y + -3y Combine like terms: 3y + -3y = 0 9 + -1y = -6 + 2r + 0 9 + -1y = -6 + 2r Add '-9' to each side of the equation. 9 + -9 + -1y = -6 + -9 + 2r Combine like terms: 9 + -9 = 0 0 + -1y = -6 + -9 + 2r -1y = -6 + -9 + 2r Combine like terms: -6 + -9 = -15 -1y = -15 + 2r Divide each side by '-1'. y = 15 + -2r Simplifying y = 15 + -2r
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