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Simplifying 5y + -1(3y + 7) = 1y + 9 Reorder the terms: 5y + -1(7 + 3y) = 1y + 9 5y + (7 * -1 + 3y * -1) = 1y + 9 5y + (-7 + -3y) = 1y + 9 Reorder the terms: -7 + 5y + -3y = 1y + 9 Combine like terms: 5y + -3y = 2y -7 + 2y = 1y + 9 Reorder the terms: -7 + 2y = 9 + 1y Solving -7 + 2y = 9 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -7 + 2y + -1y = 9 + 1y + -1y Combine like terms: 2y + -1y = 1y -7 + 1y = 9 + 1y + -1y Combine like terms: 1y + -1y = 0 -7 + 1y = 9 + 0 -7 + 1y = 9 Add '7' to each side of the equation. -7 + 7 + 1y = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 1y = 9 + 7 1y = 9 + 7 Combine like terms: 9 + 7 = 16 1y = 16 Divide each side by '1'. y = 16 Simplifying y = 16
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