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Simplifying 7(y + 8) + 24 = -3(y + -6) Reorder the terms: 7(8 + y) + 24 = -3(y + -6) (8 * 7 + y * 7) + 24 = -3(y + -6) (56 + 7y) + 24 = -3(y + -6) Reorder the terms: 56 + 24 + 7y = -3(y + -6) Combine like terms: 56 + 24 = 80 80 + 7y = -3(y + -6) Reorder the terms: 80 + 7y = -3(-6 + y) 80 + 7y = (-6 * -3 + y * -3) 80 + 7y = (18 + -3y) Solving 80 + 7y = 18 + -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. 80 + 7y + 3y = 18 + -3y + 3y Combine like terms: 7y + 3y = 10y 80 + 10y = 18 + -3y + 3y Combine like terms: -3y + 3y = 0 80 + 10y = 18 + 0 80 + 10y = 18 Add '-80' to each side of the equation. 80 + -80 + 10y = 18 + -80 Combine like terms: 80 + -80 = 0 0 + 10y = 18 + -80 10y = 18 + -80 Combine like terms: 18 + -80 = -62 10y = -62 Divide each side by '10'. y = -6.2 Simplifying y = -6.2
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