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Simplifying 3(6 + 5y) = 3(-5 + 4y) (6 * 3 + 5y * 3) = 3(-5 + 4y) (18 + 15y) = 3(-5 + 4y) 18 + 15y = (-5 * 3 + 4y * 3) 18 + 15y = (-15 + 12y) Solving 18 + 15y = -15 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 18 + 15y + -12y = -15 + 12y + -12y Combine like terms: 15y + -12y = 3y 18 + 3y = -15 + 12y + -12y Combine like terms: 12y + -12y = 0 18 + 3y = -15 + 0 18 + 3y = -15 Add '-18' to each side of the equation. 18 + -18 + 3y = -15 + -18 Combine like terms: 18 + -18 = 0 0 + 3y = -15 + -18 3y = -15 + -18 Combine like terms: -15 + -18 = -33 3y = -33 Divide each side by '3'. y = -11 Simplifying y = -11
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