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