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Simplifying -2(y + 3) = -3(y + -4) Reorder the terms: -2(3 + y) = -3(y + -4) (3 * -2 + y * -2) = -3(y + -4) (-6 + -2y) = -3(y + -4) Reorder the terms: -6 + -2y = -3(-4 + y) -6 + -2y = (-4 * -3 + y * -3) -6 + -2y = (12 + -3y) Solving -6 + -2y = 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. -6 + -2y + 3y = 12 + -3y + 3y Combine like terms: -2y + 3y = 1y -6 + 1y = 12 + -3y + 3y Combine like terms: -3y + 3y = 0 -6 + 1y = 12 + 0 -6 + 1y = 12 Add '6' to each side of the equation. -6 + 6 + 1y = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 1y = 12 + 6 1y = 12 + 6 Combine like terms: 12 + 6 = 18 1y = 18 Divide each side by '1'. y = 18 Simplifying y = 18
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