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Simplifying 5(y + -1) + 3y = 3(2y + 1) Reorder the terms: 5(-1 + y) + 3y = 3(2y + 1) (-1 * 5 + y * 5) + 3y = 3(2y + 1) (-5 + 5y) + 3y = 3(2y + 1) Combine like terms: 5y + 3y = 8y -5 + 8y = 3(2y + 1) Reorder the terms: -5 + 8y = 3(1 + 2y) -5 + 8y = (1 * 3 + 2y * 3) -5 + 8y = (3 + 6y) Solving -5 + 8y = 3 + 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. -5 + 8y + -6y = 3 + 6y + -6y Combine like terms: 8y + -6y = 2y -5 + 2y = 3 + 6y + -6y Combine like terms: 6y + -6y = 0 -5 + 2y = 3 + 0 -5 + 2y = 3 Add '5' to each side of the equation. -5 + 5 + 2y = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 2y = 3 + 5 2y = 3 + 5 Combine like terms: 3 + 5 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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