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Simplifying 1(5y + 1) + -1(-4y + -6) = -1 Reorder the terms: 1(1 + 5y) + -1(-4y + -6) = -1 (1 * 1 + 5y * 1) + -1(-4y + -6) = -1 (1 + 5y) + -1(-4y + -6) = -1 Reorder the terms: 1 + 5y + -1(-6 + -4y) = -1 1 + 5y + (-6 * -1 + -4y * -1) = -1 1 + 5y + (6 + 4y) = -1 Reorder the terms: 1 + 6 + 5y + 4y = -1 Combine like terms: 1 + 6 = 7 7 + 5y + 4y = -1 Combine like terms: 5y + 4y = 9y 7 + 9y = -1 Solving 7 + 9y = -1 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9y = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 9y = -1 + -7 9y = -1 + -7 Combine like terms: -1 + -7 = -8 9y = -8 Divide each side by '9'. y = -0.8888888889 Simplifying y = -0.8888888889
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