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Simplifying -6(2 + y) = 3(3 + -1y) (2 * -6 + y * -6) = 3(3 + -1y) (-12 + -6y) = 3(3 + -1y) -12 + -6y = (3 * 3 + -1y * 3) -12 + -6y = (9 + -3y) Solving -12 + -6y = 9 + -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 = 9 + -3y + 3y Combine like terms: -6y + 3y = -3y -12 + -3y = 9 + -3y + 3y Combine like terms: -3y + 3y = 0 -12 + -3y = 9 + 0 -12 + -3y = 9 Add '12' to each side of the equation. -12 + 12 + -3y = 9 + 12 Combine like terms: -12 + 12 = 0 0 + -3y = 9 + 12 -3y = 9 + 12 Combine like terms: 9 + 12 = 21 -3y = 21 Divide each side by '-3'. y = -7 Simplifying y = -7
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