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Simplifying -0.5(3y + 3) = 0.5(-5 + -4y) Reorder the terms: -0.5(3 + 3y) = 0.5(-5 + -4y) (3 * -0.5 + 3y * -0.5) = 0.5(-5 + -4y) (-1.5 + -1.5y) = 0.5(-5 + -4y) -1.5 + -1.5y = (-5 * 0.5 + -4y * 0.5) -1.5 + -1.5y = (-2.5 + -2y) Solving -1.5 + -1.5y = -2.5 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -1.5 + -1.5y + 2y = -2.5 + -2y + 2y Combine like terms: -1.5y + 2y = 0.5y -1.5 + 0.5y = -2.5 + -2y + 2y Combine like terms: -2y + 2y = 0 -1.5 + 0.5y = -2.5 + 0 -1.5 + 0.5y = -2.5 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.5y = -2.5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.5y = -2.5 + 1.5 0.5y = -2.5 + 1.5 Combine like terms: -2.5 + 1.5 = -1 0.5y = -1 Divide each side by '0.5'. y = -2 Simplifying y = -2
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