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Simplifying 11 + -5(3 + -1y) = -2(y + 3) + 6y 11 + (3 * -5 + -1y * -5) = -2(y + 3) + 6y 11 + (-15 + 5y) = -2(y + 3) + 6y Combine like terms: 11 + -15 = -4 -4 + 5y = -2(y + 3) + 6y Reorder the terms: -4 + 5y = -2(3 + y) + 6y -4 + 5y = (3 * -2 + y * -2) + 6y -4 + 5y = (-6 + -2y) + 6y Combine like terms: -2y + 6y = 4y -4 + 5y = -6 + 4y Solving -4 + 5y = -6 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -4 + 5y + -4y = -6 + 4y + -4y Combine like terms: 5y + -4y = 1y -4 + 1y = -6 + 4y + -4y Combine like terms: 4y + -4y = 0 -4 + 1y = -6 + 0 -4 + 1y = -6 Add '4' to each side of the equation. -4 + 4 + 1y = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 1y = -6 + 4 1y = -6 + 4 Combine like terms: -6 + 4 = -2 1y = -2 Divide each side by '1'. y = -2 Simplifying y = -2
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