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Simplifying 5(2 + -1y) = 23 + -3(2y + 7) (2 * 5 + -1y * 5) = 23 + -3(2y + 7) (10 + -5y) = 23 + -3(2y + 7) Reorder the terms: 10 + -5y = 23 + -3(7 + 2y) 10 + -5y = 23 + (7 * -3 + 2y * -3) 10 + -5y = 23 + (-21 + -6y) Combine like terms: 23 + -21 = 2 10 + -5y = 2 + -6y Solving 10 + -5y = 2 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 10 + -5y + 6y = 2 + -6y + 6y Combine like terms: -5y + 6y = 1y 10 + 1y = 2 + -6y + 6y Combine like terms: -6y + 6y = 0 10 + 1y = 2 + 0 10 + 1y = 2 Add '-10' to each side of the equation. 10 + -10 + 1y = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 1y = 2 + -10 1y = 2 + -10 Combine like terms: 2 + -10 = -8 1y = -8 Divide each side by '1'. y = -8 Simplifying y = -8
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