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Simplifying 32 + -1(3y + -1) = 3(y + -1) + 3y Reorder the terms: 32 + -1(-1 + 3y) = 3(y + -1) + 3y 32 + (-1 * -1 + 3y * -1) = 3(y + -1) + 3y 32 + (1 + -3y) = 3(y + -1) + 3y Combine like terms: 32 + 1 = 33 33 + -3y = 3(y + -1) + 3y Reorder the terms: 33 + -3y = 3(-1 + y) + 3y 33 + -3y = (-1 * 3 + y * 3) + 3y 33 + -3y = (-3 + 3y) + 3y Combine like terms: 3y + 3y = 6y 33 + -3y = -3 + 6y Solving 33 + -3y = -3 + 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. 33 + -3y + -6y = -3 + 6y + -6y Combine like terms: -3y + -6y = -9y 33 + -9y = -3 + 6y + -6y Combine like terms: 6y + -6y = 0 33 + -9y = -3 + 0 33 + -9y = -3 Add '-33' to each side of the equation. 33 + -33 + -9y = -3 + -33 Combine like terms: 33 + -33 = 0 0 + -9y = -3 + -33 -9y = -3 + -33 Combine like terms: -3 + -33 = -36 -9y = -36 Divide each side by '-9'. y = 4 Simplifying y = 4
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