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Simplifying -5(4y + -3) = 4(1 + -6y) + 3 Reorder the terms: -5(-3 + 4y) = 4(1 + -6y) + 3 (-3 * -5 + 4y * -5) = 4(1 + -6y) + 3 (15 + -20y) = 4(1 + -6y) + 3 15 + -20y = (1 * 4 + -6y * 4) + 3 15 + -20y = (4 + -24y) + 3 Reorder the terms: 15 + -20y = 4 + 3 + -24y Combine like terms: 4 + 3 = 7 15 + -20y = 7 + -24y Solving 15 + -20y = 7 + -24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '24y' to each side of the equation. 15 + -20y + 24y = 7 + -24y + 24y Combine like terms: -20y + 24y = 4y 15 + 4y = 7 + -24y + 24y Combine like terms: -24y + 24y = 0 15 + 4y = 7 + 0 15 + 4y = 7 Add '-15' to each side of the equation. 15 + -15 + 4y = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 4y = 7 + -15 4y = 7 + -15 Combine like terms: 7 + -15 = -8 4y = -8 Divide each side by '4'. y = -2 Simplifying y = -2
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