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Simplifying 3y + -1(7y + 9) = 8 + -1(13y + -5) Reorder the terms: 3y + -1(9 + 7y) = 8 + -1(13y + -5) 3y + (9 * -1 + 7y * -1) = 8 + -1(13y + -5) 3y + (-9 + -7y) = 8 + -1(13y + -5) Reorder the terms: -9 + 3y + -7y = 8 + -1(13y + -5) Combine like terms: 3y + -7y = -4y -9 + -4y = 8 + -1(13y + -5) Reorder the terms: -9 + -4y = 8 + -1(-5 + 13y) -9 + -4y = 8 + (-5 * -1 + 13y * -1) -9 + -4y = 8 + (5 + -13y) Combine like terms: 8 + 5 = 13 -9 + -4y = 13 + -13y Solving -9 + -4y = 13 + -13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13y' to each side of the equation. -9 + -4y + 13y = 13 + -13y + 13y Combine like terms: -4y + 13y = 9y -9 + 9y = 13 + -13y + 13y Combine like terms: -13y + 13y = 0 -9 + 9y = 13 + 0 -9 + 9y = 13 Add '9' to each side of the equation. -9 + 9 + 9y = 13 + 9 Combine like terms: -9 + 9 = 0 0 + 9y = 13 + 9 9y = 13 + 9 Combine like terms: 13 + 9 = 22 9y = 22 Divide each side by '9'. y = 2.444444444 Simplifying y = 2.444444444
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