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Simplifying 5y + -5 + 2(3y + 5) = -5(y + 1) Reorder the terms: 5y + -5 + 2(5 + 3y) = -5(y + 1) 5y + -5 + (5 * 2 + 3y * 2) = -5(y + 1) 5y + -5 + (10 + 6y) = -5(y + 1) Reorder the terms: -5 + 10 + 5y + 6y = -5(y + 1) Combine like terms: -5 + 10 = 5 5 + 5y + 6y = -5(y + 1) Combine like terms: 5y + 6y = 11y 5 + 11y = -5(y + 1) Reorder the terms: 5 + 11y = -5(1 + y) 5 + 11y = (1 * -5 + y * -5) 5 + 11y = (-5 + -5y) Solving 5 + 11y = -5 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 5 + 11y + 5y = -5 + -5y + 5y Combine like terms: 11y + 5y = 16y 5 + 16y = -5 + -5y + 5y Combine like terms: -5y + 5y = 0 5 + 16y = -5 + 0 5 + 16y = -5 Add '-5' to each side of the equation. 5 + -5 + 16y = -5 + -5 Combine like terms: 5 + -5 = 0 0 + 16y = -5 + -5 16y = -5 + -5 Combine like terms: -5 + -5 = -10 16y = -10 Divide each side by '16'. y = -0.625 Simplifying y = -0.625
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