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Simplifying 12(3 + 7) = 5(2y + 8) Combine like terms: 3 + 7 = 10 12(10) = 5(2y + 8) Multiply 12 * 10 120 = 5(2y + 8) Reorder the terms: 120 = 5(8 + 2y) 120 = (8 * 5 + 2y * 5) 120 = (40 + 10y) Solving 120 = 40 + 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. 120 + -10y = 40 + 10y + -10y Combine like terms: 10y + -10y = 0 120 + -10y = 40 + 0 120 + -10y = 40 Add '-120' to each side of the equation. 120 + -120 + -10y = 40 + -120 Combine like terms: 120 + -120 = 0 0 + -10y = 40 + -120 -10y = 40 + -120 Combine like terms: 40 + -120 = -80 -10y = -80 Divide each side by '-10'. y = 8 Simplifying y = 8
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