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Simplifying 3(y + -2) = 6(y + -1) + -34 Reorder the terms: 3(-2 + y) = 6(y + -1) + -34 (-2 * 3 + y * 3) = 6(y + -1) + -34 (-6 + 3y) = 6(y + -1) + -34 Reorder the terms: -6 + 3y = 6(-1 + y) + -34 -6 + 3y = (-1 * 6 + y * 6) + -34 -6 + 3y = (-6 + 6y) + -34 Reorder the terms: -6 + 3y = -6 + -34 + 6y Combine like terms: -6 + -34 = -40 -6 + 3y = -40 + 6y Solving -6 + 3y = -40 + 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. -6 + 3y + -6y = -40 + 6y + -6y Combine like terms: 3y + -6y = -3y -6 + -3y = -40 + 6y + -6y Combine like terms: 6y + -6y = 0 -6 + -3y = -40 + 0 -6 + -3y = -40 Add '6' to each side of the equation. -6 + 6 + -3y = -40 + 6 Combine like terms: -6 + 6 = 0 0 + -3y = -40 + 6 -3y = -40 + 6 Combine like terms: -40 + 6 = -34 -3y = -34 Divide each side by '-3'. y = 11.33333333 Simplifying y = 11.33333333
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