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Simplifying -4y + 1(4y + -2) = -4 + 3(2 + -1y) Reorder the terms: -4y + 1(-2 + 4y) = -4 + 3(2 + -1y) -4y + (-2 * 1 + 4y * 1) = -4 + 3(2 + -1y) -4y + (-2 + 4y) = -4 + 3(2 + -1y) Reorder the terms: -2 + -4y + 4y = -4 + 3(2 + -1y) Combine like terms: -4y + 4y = 0 -2 + 0 = -4 + 3(2 + -1y) -2 = -4 + 3(2 + -1y) -2 = -4 + (2 * 3 + -1y * 3) -2 = -4 + (6 + -3y) Combine like terms: -4 + 6 = 2 -2 = 2 + -3y Solving -2 = 2 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -2 + 3y = 2 + -3y + 3y Combine like terms: -3y + 3y = 0 -2 + 3y = 2 + 0 -2 + 3y = 2 Add '2' to each side of the equation. -2 + 2 + 3y = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 3y = 2 + 2 3y = 2 + 2 Combine like terms: 2 + 2 = 4 3y = 4 Divide each side by '3'. y = 1.333333333 Simplifying y = 1.333333333
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