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