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Simplifying 5 + 0.5(9 + -1y) = 0.6y + -2(y + -0.5) 5 + (9 * 0.5 + -1y * 0.5) = 0.6y + -2(y + -0.5) 5 + (4.5 + -0.5y) = 0.6y + -2(y + -0.5) Combine like terms: 5 + 4.5 = 9.5 9.5 + -0.5y = 0.6y + -2(y + -0.5) Reorder the terms: 9.5 + -0.5y = 0.6y + -2(-0.5 + y) 9.5 + -0.5y = 0.6y + (-0.5 * -2 + y * -2) 9.5 + -0.5y = 0.6y + (1 + -2y) Reorder the terms: 9.5 + -0.5y = 1 + 0.6y + -2y Combine like terms: 0.6y + -2y = -1.4y 9.5 + -0.5y = 1 + -1.4y Solving 9.5 + -0.5y = 1 + -1.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.4y' to each side of the equation. 9.5 + -0.5y + 1.4y = 1 + -1.4y + 1.4y Combine like terms: -0.5y + 1.4y = 0.9y 9.5 + 0.9y = 1 + -1.4y + 1.4y Combine like terms: -1.4y + 1.4y = 0.0 9.5 + 0.9y = 1 + 0.0 9.5 + 0.9y = 1 Add '-9.5' to each side of the equation. 9.5 + -9.5 + 0.9y = 1 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + 0.9y = 1 + -9.5 0.9y = 1 + -9.5 Combine like terms: 1 + -9.5 = -8.5 0.9y = -8.5 Divide each side by '0.9'. y = -9.444444444 Simplifying y = -9.444444444
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