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Simplifying y + -5 + 2(5y + 3) = -3(y + 2) Reorder the terms: y + -5 + 2(3 + 5y) = -3(y + 2) y + -5 + (3 * 2 + 5y * 2) = -3(y + 2) y + -5 + (6 + 10y) = -3(y + 2) Reorder the terms: -5 + 6 + y + 10y = -3(y + 2) Combine like terms: -5 + 6 = 1 1 + y + 10y = -3(y + 2) Combine like terms: y + 10y = 11y 1 + 11y = -3(y + 2) Reorder the terms: 1 + 11y = -3(2 + y) 1 + 11y = (2 * -3 + y * -3) 1 + 11y = (-6 + -3y) Solving 1 + 11y = -6 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 1 + 11y + 3y = -6 + -3y + 3y Combine like terms: 11y + 3y = 14y 1 + 14y = -6 + -3y + 3y Combine like terms: -3y + 3y = 0 1 + 14y = -6 + 0 1 + 14y = -6 Add '-1' to each side of the equation. 1 + -1 + 14y = -6 + -1 Combine like terms: 1 + -1 = 0 0 + 14y = -6 + -1 14y = -6 + -1 Combine like terms: -6 + -1 = -7 14y = -7 Divide each side by '14'. y = -0.5 Simplifying y = -0.5
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