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Simplifying 3(x + -4) + -1(3y + -2) = 3x + -2 Reorder the terms: 3(-4 + x) + -1(3y + -2) = 3x + -2 (-4 * 3 + x * 3) + -1(3y + -2) = 3x + -2 (-12 + 3x) + -1(3y + -2) = 3x + -2 Reorder the terms: -12 + 3x + -1(-2 + 3y) = 3x + -2 -12 + 3x + (-2 * -1 + 3y * -1) = 3x + -2 -12 + 3x + (2 + -3y) = 3x + -2 Reorder the terms: -12 + 2 + 3x + -3y = 3x + -2 Combine like terms: -12 + 2 = -10 -10 + 3x + -3y = 3x + -2 Reorder the terms: -10 + 3x + -3y = -2 + 3x Add '-3x' to each side of the equation. -10 + 3x + -3x + -3y = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 0 + -3y = -2 + 3x + -3x -10 + -3y = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + -3y = -2 + 0 -10 + -3y = -2 Solving -10 + -3y = -2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3y = -2 + 10 Combine like terms: -10 + 10 = 0 0 + -3y = -2 + 10 -3y = -2 + 10 Combine like terms: -2 + 10 = 8 -3y = 8 Divide each side by '-3'. y = -2.666666667 Simplifying y = -2.666666667
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