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Simplifying 23 = 3(y + -2) + -2(3y + -1) Reorder the terms: 23 = 3(-2 + y) + -2(3y + -1) 23 = (-2 * 3 + y * 3) + -2(3y + -1) 23 = (-6 + 3y) + -2(3y + -1) Reorder the terms: 23 = -6 + 3y + -2(-1 + 3y) 23 = -6 + 3y + (-1 * -2 + 3y * -2) 23 = -6 + 3y + (2 + -6y) Reorder the terms: 23 = -6 + 2 + 3y + -6y Combine like terms: -6 + 2 = -4 23 = -4 + 3y + -6y Combine like terms: 3y + -6y = -3y 23 = -4 + -3y Solving 23 = -4 + -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. 23 + 3y = -4 + -3y + 3y Combine like terms: -3y + 3y = 0 23 + 3y = -4 + 0 23 + 3y = -4 Add '-23' to each side of the equation. 23 + -23 + 3y = -4 + -23 Combine like terms: 23 + -23 = 0 0 + 3y = -4 + -23 3y = -4 + -23 Combine like terms: -4 + -23 = -27 3y = -27 Divide each side by '3'. y = -9 Simplifying y = -9
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