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Simplifying -0.5(4y + 4) = 0.5(-10 + -1y) Reorder the terms: -0.5(4 + 4y) = 0.5(-10 + -1y) (4 * -0.5 + 4y * -0.5) = 0.5(-10 + -1y) (-2 + -2y) = 0.5(-10 + -1y) -2 + -2y = (-10 * 0.5 + -1y * 0.5) -2 + -2y = (-5 + -0.5y) Solving -2 + -2y = -5 + -0.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.5y' to each side of the equation. -2 + -2y + 0.5y = -5 + -0.5y + 0.5y Combine like terms: -2y + 0.5y = -1.5y -2 + -1.5y = -5 + -0.5y + 0.5y Combine like terms: -0.5y + 0.5y = 0.0 -2 + -1.5y = -5 + 0.0 -2 + -1.5y = -5 Add '2' to each side of the equation. -2 + 2 + -1.5y = -5 + 2 Combine like terms: -2 + 2 = 0 0 + -1.5y = -5 + 2 -1.5y = -5 + 2 Combine like terms: -5 + 2 = -3 -1.5y = -3 Divide each side by '-1.5'. y = 2 Simplifying y = 2
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