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Simplifying 2y + -7 = 3(6 + -1y) Reorder the terms: -7 + 2y = 3(6 + -1y) -7 + 2y = (6 * 3 + -1y * 3) -7 + 2y = (18 + -3y) Solving -7 + 2y = 18 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -7 + 2y + 3y = 18 + -3y + 3y Combine like terms: 2y + 3y = 5y -7 + 5y = 18 + -3y + 3y Combine like terms: -3y + 3y = 0 -7 + 5y = 18 + 0 -7 + 5y = 18 Add '7' to each side of the equation. -7 + 7 + 5y = 18 + 7 Combine like terms: -7 + 7 = 0 0 + 5y = 18 + 7 5y = 18 + 7 Combine like terms: 18 + 7 = 25 5y = 25 Divide each side by '5'. y = 5 Simplifying y = 5
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