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Simplifying 5(y + 3) + 2 = -2(8 + -3y) + 2y Reorder the terms: 5(3 + y) + 2 = -2(8 + -3y) + 2y (3 * 5 + y * 5) + 2 = -2(8 + -3y) + 2y (15 + 5y) + 2 = -2(8 + -3y) + 2y Reorder the terms: 15 + 2 + 5y = -2(8 + -3y) + 2y Combine like terms: 15 + 2 = 17 17 + 5y = -2(8 + -3y) + 2y 17 + 5y = (8 * -2 + -3y * -2) + 2y 17 + 5y = (-16 + 6y) + 2y Combine like terms: 6y + 2y = 8y 17 + 5y = -16 + 8y Solving 17 + 5y = -16 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 17 + 5y + -8y = -16 + 8y + -8y Combine like terms: 5y + -8y = -3y 17 + -3y = -16 + 8y + -8y Combine like terms: 8y + -8y = 0 17 + -3y = -16 + 0 17 + -3y = -16 Add '-17' to each side of the equation. 17 + -17 + -3y = -16 + -17 Combine like terms: 17 + -17 = 0 0 + -3y = -16 + -17 -3y = -16 + -17 Combine like terms: -16 + -17 = -33 -3y = -33 Divide each side by '-3'. y = 11 Simplifying y = 11
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