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Simplifying 3(5y + 2) + -1y = 2y + -6 Reorder the terms: 3(2 + 5y) + -1y = 2y + -6 (2 * 3 + 5y * 3) + -1y = 2y + -6 (6 + 15y) + -1y = 2y + -6 Combine like terms: 15y + -1y = 14y 6 + 14y = 2y + -6 Reorder the terms: 6 + 14y = -6 + 2y Solving 6 + 14y = -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 + 14y + -2y = -6 + 2y + -2y Combine like terms: 14y + -2y = 12y 6 + 12y = -6 + 2y + -2y Combine like terms: 2y + -2y = 0 6 + 12y = -6 + 0 6 + 12y = -6 Add '-6' to each side of the equation. 6 + -6 + 12y = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 12y = -6 + -6 12y = -6 + -6 Combine like terms: -6 + -6 = -12 12y = -12 Divide each side by '12'. y = -1 Simplifying y = -1
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