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Simplifying -2(y + 3) + 3(2y + -1) = 7 + y Reorder the terms: -2(3 + y) + 3(2y + -1) = 7 + y (3 * -2 + y * -2) + 3(2y + -1) = 7 + y (-6 + -2y) + 3(2y + -1) = 7 + y Reorder the terms: -6 + -2y + 3(-1 + 2y) = 7 + y -6 + -2y + (-1 * 3 + 2y * 3) = 7 + y -6 + -2y + (-3 + 6y) = 7 + y Reorder the terms: -6 + -3 + -2y + 6y = 7 + y Combine like terms: -6 + -3 = -9 -9 + -2y + 6y = 7 + y Combine like terms: -2y + 6y = 4y -9 + 4y = 7 + y Solving -9 + 4y = 7 + y 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. -9 + 4y + -1y = 7 + y + -1y Combine like terms: 4y + -1y = 3y -9 + 3y = 7 + y + -1y Combine like terms: y + -1y = 0 -9 + 3y = 7 + 0 -9 + 3y = 7 Add '9' to each side of the equation. -9 + 9 + 3y = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 3y = 7 + 9 3y = 7 + 9 Combine like terms: 7 + 9 = 16 3y = 16 Divide each side by '3'. y = 5.333333333 Simplifying y = 5.333333333
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