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Simplifying -5(4y + -3) = 2(1 + -8y) Reorder the terms: -5(-3 + 4y) = 2(1 + -8y) (-3 * -5 + 4y * -5) = 2(1 + -8y) (15 + -20y) = 2(1 + -8y) 15 + -20y = (1 * 2 + -8y * 2) 15 + -20y = (2 + -16y) Solving 15 + -20y = 2 + -16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16y' to each side of the equation. 15 + -20y + 16y = 2 + -16y + 16y Combine like terms: -20y + 16y = -4y 15 + -4y = 2 + -16y + 16y Combine like terms: -16y + 16y = 0 15 + -4y = 2 + 0 15 + -4y = 2 Add '-15' to each side of the equation. 15 + -15 + -4y = 2 + -15 Combine like terms: 15 + -15 = 0 0 + -4y = 2 + -15 -4y = 2 + -15 Combine like terms: 2 + -15 = -13 -4y = -13 Divide each side by '-4'. y = 3.25 Simplifying y = 3.25
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