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Simplifying 5y + -2y + y + 29 = 6y + 30 + -3y Reorder the terms: 29 + 5y + -2y + y = 6y + 30 + -3y Combine like terms: 5y + -2y = 3y 29 + 3y + y = 6y + 30 + -3y Combine like terms: 3y + y = 4y 29 + 4y = 6y + 30 + -3y Reorder the terms: 29 + 4y = 30 + 6y + -3y Combine like terms: 6y + -3y = 3y 29 + 4y = 30 + 3y Solving 29 + 4y = 30 + 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. 29 + 4y + -3y = 30 + 3y + -3y Combine like terms: 4y + -3y = 1y 29 + 1y = 30 + 3y + -3y Combine like terms: 3y + -3y = 0 29 + 1y = 30 + 0 29 + 1y = 30 Add '-29' to each side of the equation. 29 + -29 + 1y = 30 + -29 Combine like terms: 29 + -29 = 0 0 + 1y = 30 + -29 1y = 30 + -29 Combine like terms: 30 + -29 = 1 1y = 1 Divide each side by '1'. y = 1 Simplifying y = 1
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