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