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Simplifying -13 + -1(3y + 1) = 2(y + 2) + 4y Reorder the terms: -13 + -1(1 + 3y) = 2(y + 2) + 4y -13 + (1 * -1 + 3y * -1) = 2(y + 2) + 4y -13 + (-1 + -3y) = 2(y + 2) + 4y Combine like terms: -13 + -1 = -14 -14 + -3y = 2(y + 2) + 4y Reorder the terms: -14 + -3y = 2(2 + y) + 4y -14 + -3y = (2 * 2 + y * 2) + 4y -14 + -3y = (4 + 2y) + 4y Combine like terms: 2y + 4y = 6y -14 + -3y = 4 + 6y Solving -14 + -3y = 4 + 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. -14 + -3y + -6y = 4 + 6y + -6y Combine like terms: -3y + -6y = -9y -14 + -9y = 4 + 6y + -6y Combine like terms: 6y + -6y = 0 -14 + -9y = 4 + 0 -14 + -9y = 4 Add '14' to each side of the equation. -14 + 14 + -9y = 4 + 14 Combine like terms: -14 + 14 = 0 0 + -9y = 4 + 14 -9y = 4 + 14 Combine like terms: 4 + 14 = 18 -9y = 18 Divide each side by '-9'. y = -2 Simplifying y = -2
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