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Simplifying 5 + 2(y + 1) = 3(y + -7) Reorder the terms: 5 + 2(1 + y) = 3(y + -7) 5 + (1 * 2 + y * 2) = 3(y + -7) 5 + (2 + 2y) = 3(y + -7) Combine like terms: 5 + 2 = 7 7 + 2y = 3(y + -7) Reorder the terms: 7 + 2y = 3(-7 + y) 7 + 2y = (-7 * 3 + y * 3) 7 + 2y = (-21 + 3y) Solving 7 + 2y = -21 + 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. 7 + 2y + -3y = -21 + 3y + -3y Combine like terms: 2y + -3y = -1y 7 + -1y = -21 + 3y + -3y Combine like terms: 3y + -3y = 0 7 + -1y = -21 + 0 7 + -1y = -21 Add '-7' to each side of the equation. 7 + -7 + -1y = -21 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = -21 + -7 -1y = -21 + -7 Combine like terms: -21 + -7 = -28 -1y = -28 Divide each side by '-1'. y = 28 Simplifying y = 28
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