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Simplifying 3(10 + 7y) = 4(5 + -1y) (10 * 3 + 7y * 3) = 4(5 + -1y) (30 + 21y) = 4(5 + -1y) 30 + 21y = (5 * 4 + -1y * 4) 30 + 21y = (20 + -4y) Solving 30 + 21y = 20 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 30 + 21y + 4y = 20 + -4y + 4y Combine like terms: 21y + 4y = 25y 30 + 25y = 20 + -4y + 4y Combine like terms: -4y + 4y = 0 30 + 25y = 20 + 0 30 + 25y = 20 Add '-30' to each side of the equation. 30 + -30 + 25y = 20 + -30 Combine like terms: 30 + -30 = 0 0 + 25y = 20 + -30 25y = 20 + -30 Combine like terms: 20 + -30 = -10 25y = -10 Divide each side by '25'. y = -0.4 Simplifying y = -0.4
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