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Simplifying 0.5(y + 8) = 4(y + -6) Reorder the terms: 0.5(8 + y) = 4(y + -6) (8 * 0.5 + y * 0.5) = 4(y + -6) (4 + 0.5y) = 4(y + -6) Reorder the terms: 4 + 0.5y = 4(-6 + y) 4 + 0.5y = (-6 * 4 + y * 4) 4 + 0.5y = (-24 + 4y) Solving 4 + 0.5y = -24 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 4 + 0.5y + -4y = -24 + 4y + -4y Combine like terms: 0.5y + -4y = -3.5y 4 + -3.5y = -24 + 4y + -4y Combine like terms: 4y + -4y = 0 4 + -3.5y = -24 + 0 4 + -3.5y = -24 Add '-4' to each side of the equation. 4 + -4 + -3.5y = -24 + -4 Combine like terms: 4 + -4 = 0 0 + -3.5y = -24 + -4 -3.5y = -24 + -4 Combine like terms: -24 + -4 = -28 -3.5y = -28 Divide each side by '-3.5'. y = 8 Simplifying y = 8
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