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Simplifying 3y + -7 + y + 35 = 8y + 30 + -6y Reorder the terms: -7 + 35 + 3y + y = 8y + 30 + -6y Combine like terms: -7 + 35 = 28 28 + 3y + y = 8y + 30 + -6y Combine like terms: 3y + y = 4y 28 + 4y = 8y + 30 + -6y Reorder the terms: 28 + 4y = 30 + 8y + -6y Combine like terms: 8y + -6y = 2y 28 + 4y = 30 + 2y Solving 28 + 4y = 30 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 28 + 4y + -2y = 30 + 2y + -2y Combine like terms: 4y + -2y = 2y 28 + 2y = 30 + 2y + -2y Combine like terms: 2y + -2y = 0 28 + 2y = 30 + 0 28 + 2y = 30 Add '-28' to each side of the equation. 28 + -28 + 2y = 30 + -28 Combine like terms: 28 + -28 = 0 0 + 2y = 30 + -28 2y = 30 + -28 Combine like terms: 30 + -28 = 2 2y = 2 Divide each side by '2'. y = 1 Simplifying y = 1
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