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Simplifying 4(7 + -1) + 7 = 5(2y + -3) Combine like terms: 7 + -1 = 6 4(6) + 7 = 5(2y + -3) Multiply 4 * 6 24 + 7 = 5(2y + -3) Combine like terms: 24 + 7 = 31 31 = 5(2y + -3) Reorder the terms: 31 = 5(-3 + 2y) 31 = (-3 * 5 + 2y * 5) 31 = (-15 + 10y) Solving 31 = -15 + 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. 31 + -10y = -15 + 10y + -10y Combine like terms: 10y + -10y = 0 31 + -10y = -15 + 0 31 + -10y = -15 Add '-31' to each side of the equation. 31 + -31 + -10y = -15 + -31 Combine like terms: 31 + -31 = 0 0 + -10y = -15 + -31 -10y = -15 + -31 Combine like terms: -15 + -31 = -46 -10y = -46 Divide each side by '-10'. y = 4.6 Simplifying y = 4.6
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