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Simplifying 6(3 + -2y) = 5(2y + -3) (3 * 6 + -2y * 6) = 5(2y + -3) (18 + -12y) = 5(2y + -3) Reorder the terms: 18 + -12y = 5(-3 + 2y) 18 + -12y = (-3 * 5 + 2y * 5) 18 + -12y = (-15 + 10y) Solving 18 + -12y = -15 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 18 + -12y + -10y = -15 + 10y + -10y Combine like terms: -12y + -10y = -22y 18 + -22y = -15 + 10y + -10y Combine like terms: 10y + -10y = 0 18 + -22y = -15 + 0 18 + -22y = -15 Add '-18' to each side of the equation. 18 + -18 + -22y = -15 + -18 Combine like terms: 18 + -18 = 0 0 + -22y = -15 + -18 -22y = -15 + -18 Combine like terms: -15 + -18 = -33 -22y = -33 Divide each side by '-22'. y = 1.5 Simplifying y = 1.5
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