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Simplifying 6(y + -2) = 3y + -21 Reorder the terms: 6(-2 + y) = 3y + -21 (-2 * 6 + y * 6) = 3y + -21 (-12 + 6y) = 3y + -21 Reorder the terms: -12 + 6y = -21 + 3y Solving -12 + 6y = -21 + 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. -12 + 6y + -3y = -21 + 3y + -3y Combine like terms: 6y + -3y = 3y -12 + 3y = -21 + 3y + -3y Combine like terms: 3y + -3y = 0 -12 + 3y = -21 + 0 -12 + 3y = -21 Add '12' to each side of the equation. -12 + 12 + 3y = -21 + 12 Combine like terms: -12 + 12 = 0 0 + 3y = -21 + 12 3y = -21 + 12 Combine like terms: -21 + 12 = -9 3y = -9 Divide each side by '3'. y = -3 Simplifying y = -3
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