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Simplifying 3(y + -1) = 6(y + 3) Reorder the terms: 3(-1 + y) = 6(y + 3) (-1 * 3 + y * 3) = 6(y + 3) (-3 + 3y) = 6(y + 3) Reorder the terms: -3 + 3y = 6(3 + y) -3 + 3y = (3 * 6 + y * 6) -3 + 3y = (18 + 6y) Solving -3 + 3y = 18 + 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. -3 + 3y + -6y = 18 + 6y + -6y Combine like terms: 3y + -6y = -3y -3 + -3y = 18 + 6y + -6y Combine like terms: 6y + -6y = 0 -3 + -3y = 18 + 0 -3 + -3y = 18 Add '3' to each side of the equation. -3 + 3 + -3y = 18 + 3 Combine like terms: -3 + 3 = 0 0 + -3y = 18 + 3 -3y = 18 + 3 Combine like terms: 18 + 3 = 21 -3y = 21 Divide each side by '-3'. y = -7 Simplifying y = -7
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