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Simplifying -1(2 + -1y) + 3y = 3(y + -4) (2 * -1 + -1y * -1) + 3y = 3(y + -4) (-2 + 1y) + 3y = 3(y + -4) Combine like terms: 1y + 3y = 4y -2 + 4y = 3(y + -4) Reorder the terms: -2 + 4y = 3(-4 + y) -2 + 4y = (-4 * 3 + y * 3) -2 + 4y = (-12 + 3y) Solving -2 + 4y = -12 + 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 + 4y + -3y = -12 + 3y + -3y Combine like terms: 4y + -3y = 1y -2 + 1y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 -2 + 1y = -12 + 0 -2 + 1y = -12 Add '2' to each side of the equation. -2 + 2 + 1y = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 1y = -12 + 2 1y = -12 + 2 Combine like terms: -12 + 2 = -10 1y = -10 Divide each side by '1'. y = -10 Simplifying y = -10
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