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