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Simplifying 6 + -6y = 3(y + -3) Reorder the terms: 6 + -6y = 3(-3 + y) 6 + -6y = (-3 * 3 + y * 3) 6 + -6y = (-9 + 3y) Solving 6 + -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. 6 + -6y + -3y = -9 + 3y + -3y Combine like terms: -6y + -3y = -9y 6 + -9y = -9 + 3y + -3y Combine like terms: 3y + -3y = 0 6 + -9y = -9 + 0 6 + -9y = -9 Add '-6' to each side of the equation. 6 + -6 + -9y = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -9y = -9 + -6 -9y = -9 + -6 Combine like terms: -9 + -6 = -15 -9y = -15 Divide each side by '-9'. y = 1.666666667 Simplifying y = 1.666666667
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