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Simplifying -3(y + 4) + -1(-2y + -5) = -6 Reorder the terms: -3(4 + y) + -1(-2y + -5) = -6 (4 * -3 + y * -3) + -1(-2y + -5) = -6 (-12 + -3y) + -1(-2y + -5) = -6 Reorder the terms: -12 + -3y + -1(-5 + -2y) = -6 -12 + -3y + (-5 * -1 + -2y * -1) = -6 -12 + -3y + (5 + 2y) = -6 Reorder the terms: -12 + 5 + -3y + 2y = -6 Combine like terms: -12 + 5 = -7 -7 + -3y + 2y = -6 Combine like terms: -3y + 2y = -1y -7 + -1y = -6 Solving -7 + -1y = -6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1y = -6 + 7 Combine like terms: -7 + 7 = 0 0 + -1y = -6 + 7 -1y = -6 + 7 Combine like terms: -6 + 7 = 1 -1y = 1 Divide each side by '-1'. y = -1 Simplifying y = -1
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