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Simplifying 6(2y + 3) = 3(y + -5) Reorder the terms: 6(3 + 2y) = 3(y + -5) (3 * 6 + 2y * 6) = 3(y + -5) (18 + 12y) = 3(y + -5) Reorder the terms: 18 + 12y = 3(-5 + y) 18 + 12y = (-5 * 3 + y * 3) 18 + 12y = (-15 + 3y) Solving 18 + 12y = -15 + 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. 18 + 12y + -3y = -15 + 3y + -3y Combine like terms: 12y + -3y = 9y 18 + 9y = -15 + 3y + -3y Combine like terms: 3y + -3y = 0 18 + 9y = -15 + 0 18 + 9y = -15 Add '-18' to each side of the equation. 18 + -18 + 9y = -15 + -18 Combine like terms: 18 + -18 = 0 0 + 9y = -15 + -18 9y = -15 + -18 Combine like terms: -15 + -18 = -33 9y = -33 Divide each side by '9'. y = -3.666666667 Simplifying y = -3.666666667
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