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