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Simplifying 3(5y + 2) = 2(y + -3) Reorder the terms: 3(2 + 5y) = 2(y + -3) (2 * 3 + 5y * 3) = 2(y + -3) (6 + 15y) = 2(y + -3) Reorder the terms: 6 + 15y = 2(-3 + y) 6 + 15y = (-3 * 2 + y * 2) 6 + 15y = (-6 + 2y) Solving 6 + 15y = -6 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 6 + 15y + -2y = -6 + 2y + -2y Combine like terms: 15y + -2y = 13y 6 + 13y = -6 + 2y + -2y Combine like terms: 2y + -2y = 0 6 + 13y = -6 + 0 6 + 13y = -6 Add '-6' to each side of the equation. 6 + -6 + 13y = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 13y = -6 + -6 13y = -6 + -6 Combine like terms: -6 + -6 = -12 13y = -12 Divide each side by '13'. y = -0.9230769231 Simplifying y = -0.9230769231
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