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Simplifying -1(4 + -1y) = 7(3 + -7y) (4 * -1 + -1y * -1) = 7(3 + -7y) (-4 + 1y) = 7(3 + -7y) -4 + 1y = (3 * 7 + -7y * 7) -4 + 1y = (21 + -49y) Solving -4 + 1y = 21 + -49y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '49y' to each side of the equation. -4 + 1y + 49y = 21 + -49y + 49y Combine like terms: 1y + 49y = 50y -4 + 50y = 21 + -49y + 49y Combine like terms: -49y + 49y = 0 -4 + 50y = 21 + 0 -4 + 50y = 21 Add '4' to each side of the equation. -4 + 4 + 50y = 21 + 4 Combine like terms: -4 + 4 = 0 0 + 50y = 21 + 4 50y = 21 + 4 Combine like terms: 21 + 4 = 25 50y = 25 Divide each side by '50'. y = 0.5 Simplifying y = 0.5
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