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Simplifying 7(2y + -1) + 3y = 3(y + 2) + 9 Reorder the terms: 7(-1 + 2y) + 3y = 3(y + 2) + 9 (-1 * 7 + 2y * 7) + 3y = 3(y + 2) + 9 (-7 + 14y) + 3y = 3(y + 2) + 9 Combine like terms: 14y + 3y = 17y -7 + 17y = 3(y + 2) + 9 Reorder the terms: -7 + 17y = 3(2 + y) + 9 -7 + 17y = (2 * 3 + y * 3) + 9 -7 + 17y = (6 + 3y) + 9 Reorder the terms: -7 + 17y = 6 + 9 + 3y Combine like terms: 6 + 9 = 15 -7 + 17y = 15 + 3y Solving -7 + 17y = 15 + 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 + 17y + -3y = 15 + 3y + -3y Combine like terms: 17y + -3y = 14y -7 + 14y = 15 + 3y + -3y Combine like terms: 3y + -3y = 0 -7 + 14y = 15 + 0 -7 + 14y = 15 Add '7' to each side of the equation. -7 + 7 + 14y = 15 + 7 Combine like terms: -7 + 7 = 0 0 + 14y = 15 + 7 14y = 15 + 7 Combine like terms: 15 + 7 = 22 14y = 22 Divide each side by '14'. y = 1.571428571 Simplifying y = 1.571428571
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