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Simplifying 3 + -1(3y + -2) = 6 + 3(y + -4) Reorder the terms: 3 + -1(-2 + 3y) = 6 + 3(y + -4) 3 + (-2 * -1 + 3y * -1) = 6 + 3(y + -4) 3 + (2 + -3y) = 6 + 3(y + -4) Combine like terms: 3 + 2 = 5 5 + -3y = 6 + 3(y + -4) Reorder the terms: 5 + -3y = 6 + 3(-4 + y) 5 + -3y = 6 + (-4 * 3 + y * 3) 5 + -3y = 6 + (-12 + 3y) Combine like terms: 6 + -12 = -6 5 + -3y = -6 + 3y Solving 5 + -3y = -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. 5 + -3y + -3y = -6 + 3y + -3y Combine like terms: -3y + -3y = -6y 5 + -6y = -6 + 3y + -3y Combine like terms: 3y + -3y = 0 5 + -6y = -6 + 0 5 + -6y = -6 Add '-5' to each side of the equation. 5 + -5 + -6y = -6 + -5 Combine like terms: 5 + -5 = 0 0 + -6y = -6 + -5 -6y = -6 + -5 Combine like terms: -6 + -5 = -11 -6y = -11 Divide each side by '-6'. y = 1.833333333 Simplifying y = 1.833333333
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