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Simplifying 2.6 = 5.8y + -1(5y + -3.6) Reorder the terms: 2.6 = 5.8y + -1(-3.6 + 5y) 2.6 = 5.8y + (-3.6 * -1 + 5y * -1) 2.6 = 5.8y + (3.6 + -5y) Reorder the terms: 2.6 = 3.6 + 5.8y + -5y Combine like terms: 5.8y + -5y = 0.8y 2.6 = 3.6 + 0.8y Solving 2.6 = 3.6 + 0.8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.8y' to each side of the equation. 2.6 + -0.8y = 3.6 + 0.8y + -0.8y Combine like terms: 0.8y + -0.8y = 0.0 2.6 + -0.8y = 3.6 + 0.0 2.6 + -0.8y = 3.6 Add '-2.6' to each side of the equation. 2.6 + -2.6 + -0.8y = 3.6 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + -0.8y = 3.6 + -2.6 -0.8y = 3.6 + -2.6 Combine like terms: 3.6 + -2.6 = 1 -0.8y = 1 Divide each side by '-0.8'. y = -1.25 Simplifying y = -1.25
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