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Simplifying 8(9 + y) + -12 = 5(2y + 6) (9 * 8 + y * 8) + -12 = 5(2y + 6) (72 + 8y) + -12 = 5(2y + 6) Reorder the terms: 72 + -12 + 8y = 5(2y + 6) Combine like terms: 72 + -12 = 60 60 + 8y = 5(2y + 6) Reorder the terms: 60 + 8y = 5(6 + 2y) 60 + 8y = (6 * 5 + 2y * 5) 60 + 8y = (30 + 10y) Solving 60 + 8y = 30 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 60 + 8y + -10y = 30 + 10y + -10y Combine like terms: 8y + -10y = -2y 60 + -2y = 30 + 10y + -10y Combine like terms: 10y + -10y = 0 60 + -2y = 30 + 0 60 + -2y = 30 Add '-60' to each side of the equation. 60 + -60 + -2y = 30 + -60 Combine like terms: 60 + -60 = 0 0 + -2y = 30 + -60 -2y = 30 + -60 Combine like terms: 30 + -60 = -30 -2y = -30 Divide each side by '-2'. y = 15 Simplifying y = 15
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