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Simplifying -0.5(2y + 5) = 0.5(-7 + -4y) Reorder the terms: -0.5(5 + 2y) = 0.5(-7 + -4y) (5 * -0.5 + 2y * -0.5) = 0.5(-7 + -4y) (-2.5 + -1y) = 0.5(-7 + -4y) -2.5 + -1y = (-7 * 0.5 + -4y * 0.5) -2.5 + -1y = (-3.5 + -2y) Solving -2.5 + -1y = -3.5 + -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. -2.5 + -1y + 2y = -3.5 + -2y + 2y Combine like terms: -1y + 2y = 1y -2.5 + 1y = -3.5 + -2y + 2y Combine like terms: -2y + 2y = 0 -2.5 + 1y = -3.5 + 0 -2.5 + 1y = -3.5 Add '2.5' to each side of the equation. -2.5 + 2.5 + 1y = -3.5 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 1y = -3.5 + 2.5 1y = -3.5 + 2.5 Combine like terms: -3.5 + 2.5 = -1 1y = -1 Divide each side by '1'. y = -1 Simplifying y = -1
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