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Simplifying 6(2y + 5) = 3(5y + -2) Reorder the terms: 6(5 + 2y) = 3(5y + -2) (5 * 6 + 2y * 6) = 3(5y + -2) (30 + 12y) = 3(5y + -2) Reorder the terms: 30 + 12y = 3(-2 + 5y) 30 + 12y = (-2 * 3 + 5y * 3) 30 + 12y = (-6 + 15y) Solving 30 + 12y = -6 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 30 + 12y + -15y = -6 + 15y + -15y Combine like terms: 12y + -15y = -3y 30 + -3y = -6 + 15y + -15y Combine like terms: 15y + -15y = 0 30 + -3y = -6 + 0 30 + -3y = -6 Add '-30' to each side of the equation. 30 + -30 + -3y = -6 + -30 Combine like terms: 30 + -30 = 0 0 + -3y = -6 + -30 -3y = -6 + -30 Combine like terms: -6 + -30 = -36 -3y = -36 Divide each side by '-3'. y = 12 Simplifying y = 12
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