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Simplifying 2y + -3(y + 1) = -1(5y + 6) + y Reorder the terms: 2y + -3(1 + y) = -1(5y + 6) + y 2y + (1 * -3 + y * -3) = -1(5y + 6) + y 2y + (-3 + -3y) = -1(5y + 6) + y Reorder the terms: -3 + 2y + -3y = -1(5y + 6) + y Combine like terms: 2y + -3y = -1y -3 + -1y = -1(5y + 6) + y Reorder the terms: -3 + -1y = -1(6 + 5y) + y -3 + -1y = (6 * -1 + 5y * -1) + y -3 + -1y = (-6 + -5y) + y Combine like terms: -5y + y = -4y -3 + -1y = -6 + -4y Solving -3 + -1y = -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. -3 + -1y + 4y = -6 + -4y + 4y Combine like terms: -1y + 4y = 3y -3 + 3y = -6 + -4y + 4y Combine like terms: -4y + 4y = 0 -3 + 3y = -6 + 0 -3 + 3y = -6 Add '3' to each side of the equation. -3 + 3 + 3y = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 3y = -6 + 3 3y = -6 + 3 Combine like terms: -6 + 3 = -3 3y = -3 Divide each side by '3'. y = -1 Simplifying y = -1
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