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Simplifying 8(y + -7) = 3(y + 2) + (y + y + y) Reorder the terms: 8(-7 + y) = 3(y + 2) + (y + y + y) (-7 * 8 + y * 8) = 3(y + 2) + (y + y + y) (-56 + 8y) = 3(y + 2) + (y + y + y) Reorder the terms: -56 + 8y = 3(2 + y) + (y + y + y) -56 + 8y = (2 * 3 + y * 3) + (y + y + y) -56 + 8y = (6 + 3y) + (y + y + y) Combine like terms: y + y = 2y -56 + 8y = 6 + 3y + (2y + y) Combine like terms: 2y + y = 3y -56 + 8y = 6 + 3y + (3y) -56 + 8y = 6 + 3y + (3y) Combine like terms: 3y + (3y) = 6y -56 + 8y = 6 + 6y Solving -56 + 8y = 6 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -56 + 8y + -6y = 6 + 6y + -6y Combine like terms: 8y + -6y = 2y -56 + 2y = 6 + 6y + -6y Combine like terms: 6y + -6y = 0 -56 + 2y = 6 + 0 -56 + 2y = 6 Add '56' to each side of the equation. -56 + 56 + 2y = 6 + 56 Combine like terms: -56 + 56 = 0 0 + 2y = 6 + 56 2y = 6 + 56 Combine like terms: 6 + 56 = 62 2y = 62 Divide each side by '2'. y = 31 Simplifying y = 31
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