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Simplifying -6(y + -2) + 3 = 9 + -1(y + 4) Reorder the terms: -6(-2 + y) + 3 = 9 + -1(y + 4) (-2 * -6 + y * -6) + 3 = 9 + -1(y + 4) (12 + -6y) + 3 = 9 + -1(y + 4) Reorder the terms: 12 + 3 + -6y = 9 + -1(y + 4) Combine like terms: 12 + 3 = 15 15 + -6y = 9 + -1(y + 4) Reorder the terms: 15 + -6y = 9 + -1(4 + y) 15 + -6y = 9 + (4 * -1 + y * -1) 15 + -6y = 9 + (-4 + -1y) Combine like terms: 9 + -4 = 5 15 + -6y = 5 + -1y Solving 15 + -6y = 5 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 15 + -6y + y = 5 + -1y + y Combine like terms: -6y + y = -5y 15 + -5y = 5 + -1y + y Combine like terms: -1y + y = 0 15 + -5y = 5 + 0 15 + -5y = 5 Add '-15' to each side of the equation. 15 + -15 + -5y = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -5y = 5 + -15 -5y = 5 + -15 Combine like terms: 5 + -15 = -10 -5y = -10 Divide each side by '-5'. y = 2 Simplifying y = 2
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