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Simplifying 10 + -5y = 3(-1y + 6) + 6(4y + 6) Reorder the terms: 10 + -5y = 3(6 + -1y) + 6(4y + 6) 10 + -5y = (6 * 3 + -1y * 3) + 6(4y + 6) 10 + -5y = (18 + -3y) + 6(4y + 6) Reorder the terms: 10 + -5y = 18 + -3y + 6(6 + 4y) 10 + -5y = 18 + -3y + (6 * 6 + 4y * 6) 10 + -5y = 18 + -3y + (36 + 24y) Reorder the terms: 10 + -5y = 18 + 36 + -3y + 24y Combine like terms: 18 + 36 = 54 10 + -5y = 54 + -3y + 24y Combine like terms: -3y + 24y = 21y 10 + -5y = 54 + 21y Solving 10 + -5y = 54 + 21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21y' to each side of the equation. 10 + -5y + -21y = 54 + 21y + -21y Combine like terms: -5y + -21y = -26y 10 + -26y = 54 + 21y + -21y Combine like terms: 21y + -21y = 0 10 + -26y = 54 + 0 10 + -26y = 54 Add '-10' to each side of the equation. 10 + -10 + -26y = 54 + -10 Combine like terms: 10 + -10 = 0 0 + -26y = 54 + -10 -26y = 54 + -10 Combine like terms: 54 + -10 = 44 -26y = 44 Divide each side by '-26'. y = -1.692307692 Simplifying y = -1.692307692
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