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Simplifying 7 + 0.5(5 + -1y) = 1.2y + -4(y + -0.4) 7 + (5 * 0.5 + -1y * 0.5) = 1.2y + -4(y + -0.4) 7 + (2.5 + -0.5y) = 1.2y + -4(y + -0.4) Combine like terms: 7 + 2.5 = 9.5 9.5 + -0.5y = 1.2y + -4(y + -0.4) Reorder the terms: 9.5 + -0.5y = 1.2y + -4(-0.4 + y) 9.5 + -0.5y = 1.2y + (-0.4 * -4 + y * -4) 9.5 + -0.5y = 1.2y + (1.6 + -4y) Reorder the terms: 9.5 + -0.5y = 1.6 + 1.2y + -4y Combine like terms: 1.2y + -4y = -2.8y 9.5 + -0.5y = 1.6 + -2.8y Solving 9.5 + -0.5y = 1.6 + -2.8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2.8y' to each side of the equation. 9.5 + -0.5y + 2.8y = 1.6 + -2.8y + 2.8y Combine like terms: -0.5y + 2.8y = 2.3y 9.5 + 2.3y = 1.6 + -2.8y + 2.8y Combine like terms: -2.8y + 2.8y = 0.0 9.5 + 2.3y = 1.6 + 0.0 9.5 + 2.3y = 1.6 Add '-9.5' to each side of the equation. 9.5 + -9.5 + 2.3y = 1.6 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + 2.3y = 1.6 + -9.5 2.3y = 1.6 + -9.5 Combine like terms: 1.6 + -9.5 = -7.9 2.3y = -7.9 Divide each side by '2.3'. y = -3.434782609 Simplifying y = -3.434782609
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