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Simplifying 7 + 0.1(7 + -1y) = 0.5y + -8(y + -0.5) 7 + (7 * 0.1 + -1y * 0.1) = 0.5y + -8(y + -0.5) 7 + (0.7 + -0.1y) = 0.5y + -8(y + -0.5) Combine like terms: 7 + 0.7 = 7.7 7.7 + -0.1y = 0.5y + -8(y + -0.5) Reorder the terms: 7.7 + -0.1y = 0.5y + -8(-0.5 + y) 7.7 + -0.1y = 0.5y + (-0.5 * -8 + y * -8) 7.7 + -0.1y = 0.5y + (4 + -8y) Reorder the terms: 7.7 + -0.1y = 4 + 0.5y + -8y Combine like terms: 0.5y + -8y = -7.5y 7.7 + -0.1y = 4 + -7.5y Solving 7.7 + -0.1y = 4 + -7.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7.5y' to each side of the equation. 7.7 + -0.1y + 7.5y = 4 + -7.5y + 7.5y Combine like terms: -0.1y + 7.5y = 7.4y 7.7 + 7.4y = 4 + -7.5y + 7.5y Combine like terms: -7.5y + 7.5y = 0.0 7.7 + 7.4y = 4 + 0.0 7.7 + 7.4y = 4 Add '-7.7' to each side of the equation. 7.7 + -7.7 + 7.4y = 4 + -7.7 Combine like terms: 7.7 + -7.7 = 0.0 0.0 + 7.4y = 4 + -7.7 7.4y = 4 + -7.7 Combine like terms: 4 + -7.7 = -3.7 7.4y = -3.7 Divide each side by '7.4'. y = -0.5 Simplifying y = -0.5
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