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Simplifying 3(y + -3) + -1(4 + -1y) = 2(y + -1) Reorder the terms: 3(-3 + y) + -1(4 + -1y) = 2(y + -1) (-3 * 3 + y * 3) + -1(4 + -1y) = 2(y + -1) (-9 + 3y) + -1(4 + -1y) = 2(y + -1) -9 + 3y + (4 * -1 + -1y * -1) = 2(y + -1) -9 + 3y + (-4 + 1y) = 2(y + -1) Reorder the terms: -9 + -4 + 3y + 1y = 2(y + -1) Combine like terms: -9 + -4 = -13 -13 + 3y + 1y = 2(y + -1) Combine like terms: 3y + 1y = 4y -13 + 4y = 2(y + -1) Reorder the terms: -13 + 4y = 2(-1 + y) -13 + 4y = (-1 * 2 + y * 2) -13 + 4y = (-2 + 2y) Solving -13 + 4y = -2 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -13 + 4y + -2y = -2 + 2y + -2y Combine like terms: 4y + -2y = 2y -13 + 2y = -2 + 2y + -2y Combine like terms: 2y + -2y = 0 -13 + 2y = -2 + 0 -13 + 2y = -2 Add '13' to each side of the equation. -13 + 13 + 2y = -2 + 13 Combine like terms: -13 + 13 = 0 0 + 2y = -2 + 13 2y = -2 + 13 Combine like terms: -2 + 13 = 11 2y = 11 Divide each side by '2'. y = 5.5 Simplifying y = 5.5
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