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Simplifying -5y + -6(-6y + -4) = 7 + 1(-2 + -1y) Reorder the terms: -5y + -6(-4 + -6y) = 7 + 1(-2 + -1y) -5y + (-4 * -6 + -6y * -6) = 7 + 1(-2 + -1y) -5y + (24 + 36y) = 7 + 1(-2 + -1y) Reorder the terms: 24 + -5y + 36y = 7 + 1(-2 + -1y) Combine like terms: -5y + 36y = 31y 24 + 31y = 7 + 1(-2 + -1y) 24 + 31y = 7 + (-2 * 1 + -1y * 1) 24 + 31y = 7 + (-2 + -1y) Combine like terms: 7 + -2 = 5 24 + 31y = 5 + -1y Solving 24 + 31y = 5 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 24 + 31y + y = 5 + -1y + y Combine like terms: 31y + y = 32y 24 + 32y = 5 + -1y + y Combine like terms: -1y + y = 0 24 + 32y = 5 + 0 24 + 32y = 5 Add '-24' to each side of the equation. 24 + -24 + 32y = 5 + -24 Combine like terms: 24 + -24 = 0 0 + 32y = 5 + -24 32y = 5 + -24 Combine like terms: 5 + -24 = -19 32y = -19 Divide each side by '32'. y = -0.59375 Simplifying y = -0.59375
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