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Simplifying 9 + -3(-5y + -7) = 5(-4y + 1) + 1 Reorder the terms: 9 + -3(-7 + -5y) = 5(-4y + 1) + 1 9 + (-7 * -3 + -5y * -3) = 5(-4y + 1) + 1 9 + (21 + 15y) = 5(-4y + 1) + 1 Combine like terms: 9 + 21 = 30 30 + 15y = 5(-4y + 1) + 1 Reorder the terms: 30 + 15y = 5(1 + -4y) + 1 30 + 15y = (1 * 5 + -4y * 5) + 1 30 + 15y = (5 + -20y) + 1 Reorder the terms: 30 + 15y = 5 + 1 + -20y Combine like terms: 5 + 1 = 6 30 + 15y = 6 + -20y Solving 30 + 15y = 6 + -20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20y' to each side of the equation. 30 + 15y + 20y = 6 + -20y + 20y Combine like terms: 15y + 20y = 35y 30 + 35y = 6 + -20y + 20y Combine like terms: -20y + 20y = 0 30 + 35y = 6 + 0 30 + 35y = 6 Add '-30' to each side of the equation. 30 + -30 + 35y = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 35y = 6 + -30 35y = 6 + -30 Combine like terms: 6 + -30 = -24 35y = -24 Divide each side by '35'. y = -0.6857142857 Simplifying y = -0.6857142857
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