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Simplifying 4y + -1(2y + 1) = 5 + -1(3y + 11) Reorder the terms: 4y + -1(1 + 2y) = 5 + -1(3y + 11) 4y + (1 * -1 + 2y * -1) = 5 + -1(3y + 11) 4y + (-1 + -2y) = 5 + -1(3y + 11) Reorder the terms: -1 + 4y + -2y = 5 + -1(3y + 11) Combine like terms: 4y + -2y = 2y -1 + 2y = 5 + -1(3y + 11) Reorder the terms: -1 + 2y = 5 + -1(11 + 3y) -1 + 2y = 5 + (11 * -1 + 3y * -1) -1 + 2y = 5 + (-11 + -3y) Combine like terms: 5 + -11 = -6 -1 + 2y = -6 + -3y Solving -1 + 2y = -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 + 2y + 3y = -6 + -3y + 3y Combine like terms: 2y + 3y = 5y -1 + 5y = -6 + -3y + 3y Combine like terms: -3y + 3y = 0 -1 + 5y = -6 + 0 -1 + 5y = -6 Add '1' to each side of the equation. -1 + 1 + 5y = -6 + 1 Combine like terms: -1 + 1 = 0 0 + 5y = -6 + 1 5y = -6 + 1 Combine like terms: -6 + 1 = -5 5y = -5 Divide each side by '5'. y = -1 Simplifying y = -1
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