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Simplifying -3(5 + -1y) = 4(1 + -4y) (5 * -3 + -1y * -3) = 4(1 + -4y) (-15 + 3y) = 4(1 + -4y) -15 + 3y = (1 * 4 + -4y * 4) -15 + 3y = (4 + -16y) Solving -15 + 3y = 4 + -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 + 3y + 16y = 4 + -16y + 16y Combine like terms: 3y + 16y = 19y -15 + 19y = 4 + -16y + 16y Combine like terms: -16y + 16y = 0 -15 + 19y = 4 + 0 -15 + 19y = 4 Add '15' to each side of the equation. -15 + 15 + 19y = 4 + 15 Combine like terms: -15 + 15 = 0 0 + 19y = 4 + 15 19y = 4 + 15 Combine like terms: 4 + 15 = 19 19y = 19 Divide each side by '19'. y = 1 Simplifying y = 1
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