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Simplifying 2y + -8 = -0.5(3 + -5y) Reorder the terms: -8 + 2y = -0.5(3 + -5y) -8 + 2y = (3 * -0.5 + -5y * -0.5) -8 + 2y = (-1.5 + 2.5y) Solving -8 + 2y = -1.5 + 2.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.5y' to each side of the equation. -8 + 2y + -2.5y = -1.5 + 2.5y + -2.5y Combine like terms: 2y + -2.5y = -0.5y -8 + -0.5y = -1.5 + 2.5y + -2.5y Combine like terms: 2.5y + -2.5y = 0.0 -8 + -0.5y = -1.5 + 0.0 -8 + -0.5y = -1.5 Add '8' to each side of the equation. -8 + 8 + -0.5y = -1.5 + 8 Combine like terms: -8 + 8 = 0 0 + -0.5y = -1.5 + 8 -0.5y = -1.5 + 8 Combine like terms: -1.5 + 8 = 6.5 -0.5y = 6.5 Divide each side by '-0.5'. y = -13 Simplifying y = -13
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