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Simplifying -2y + -3(1y + 1) = 2 + -6(-5 + -1y) Reorder the terms: -2y + -3(1 + 1y) = 2 + -6(-5 + -1y) -2y + (1 * -3 + 1y * -3) = 2 + -6(-5 + -1y) -2y + (-3 + -3y) = 2 + -6(-5 + -1y) Reorder the terms: -3 + -2y + -3y = 2 + -6(-5 + -1y) Combine like terms: -2y + -3y = -5y -3 + -5y = 2 + -6(-5 + -1y) -3 + -5y = 2 + (-5 * -6 + -1y * -6) -3 + -5y = 2 + (30 + 6y) Combine like terms: 2 + 30 = 32 -3 + -5y = 32 + 6y Solving -3 + -5y = 32 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -3 + -5y + -6y = 32 + 6y + -6y Combine like terms: -5y + -6y = -11y -3 + -11y = 32 + 6y + -6y Combine like terms: 6y + -6y = 0 -3 + -11y = 32 + 0 -3 + -11y = 32 Add '3' to each side of the equation. -3 + 3 + -11y = 32 + 3 Combine like terms: -3 + 3 = 0 0 + -11y = 32 + 3 -11y = 32 + 3 Combine like terms: 32 + 3 = 35 -11y = 35 Divide each side by '-11'. y = -3.181818182 Simplifying y = -3.181818182
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