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Simplifying 6 + 0.5y + -1y = -4 + y Combine like terms: 0.5y + -1y = -0.5y 6 + -0.5y = -4 + y Solving 6 + -0.5y = -4 + 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. 6 + -0.5y + -1y = -4 + y + -1y Combine like terms: -0.5y + -1y = -1.5y 6 + -1.5y = -4 + y + -1y Combine like terms: y + -1y = 0 6 + -1.5y = -4 + 0 6 + -1.5y = -4 Add '-6' to each side of the equation. 6 + -6 + -1.5y = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -1.5y = -4 + -6 -1.5y = -4 + -6 Combine like terms: -4 + -6 = -10 -1.5y = -10 Divide each side by '-1.5'. y = 6.666666667 Simplifying y = 6.666666667
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