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Simplifying 3(y + -3) + -1(4y + 2) = 1 Reorder the terms: 3(-3 + y) + -1(4y + 2) = 1 (-3 * 3 + y * 3) + -1(4y + 2) = 1 (-9 + 3y) + -1(4y + 2) = 1 Reorder the terms: -9 + 3y + -1(2 + 4y) = 1 -9 + 3y + (2 * -1 + 4y * -1) = 1 -9 + 3y + (-2 + -4y) = 1 Reorder the terms: -9 + -2 + 3y + -4y = 1 Combine like terms: -9 + -2 = -11 -11 + 3y + -4y = 1 Combine like terms: 3y + -4y = -1y -11 + -1y = 1 Solving -11 + -1y = 1 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1y = 1 + 11 Combine like terms: -11 + 11 = 0 0 + -1y = 1 + 11 -1y = 1 + 11 Combine like terms: 1 + 11 = 12 -1y = 12 Divide each side by '-1'. y = -12 Simplifying y = -12
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