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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 = 3 -7 + 17y = 3 + -3y Solving -7 + 17y = 3 + -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 = 3 + -3y + 3y Combine like terms: 17y + 3y = 20y -7 + 20y = 3 + -3y + 3y Combine like terms: -3y + 3y = 0 -7 + 20y = 3 + 0 -7 + 20y = 3 Add '7' to each side of the equation. -7 + 7 + 20y = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 20y = 3 + 7 20y = 3 + 7 Combine like terms: 3 + 7 = 10 20y = 10 Divide each side by '20'. y = 0.5 Simplifying y = 0.5
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