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Simplifying 6y + -1(3y + 7) = 2y + 1 Reorder the terms: 6y + -1(7 + 3y) = 2y + 1 6y + (7 * -1 + 3y * -1) = 2y + 1 6y + (-7 + -3y) = 2y + 1 Reorder the terms: -7 + 6y + -3y = 2y + 1 Combine like terms: 6y + -3y = 3y -7 + 3y = 2y + 1 Reorder the terms: -7 + 3y = 1 + 2y Solving -7 + 3y = 1 + 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. -7 + 3y + -2y = 1 + 2y + -2y Combine like terms: 3y + -2y = 1y -7 + 1y = 1 + 2y + -2y Combine like terms: 2y + -2y = 0 -7 + 1y = 1 + 0 -7 + 1y = 1 Add '7' to each side of the equation. -7 + 7 + 1y = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 1y = 1 + 7 1y = 1 + 7 Combine like terms: 1 + 7 = 8 1y = 8 Divide each side by '1'. y = 8 Simplifying y = 8
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