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Simplifying 6y + -42 = 3y + 30 Reorder the terms: -42 + 6y = 3y + 30 Reorder the terms: -42 + 6y = 30 + 3y Solving -42 + 6y = 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. -42 + 6y + -3y = 30 + 3y + -3y Combine like terms: 6y + -3y = 3y -42 + 3y = 30 + 3y + -3y Combine like terms: 3y + -3y = 0 -42 + 3y = 30 + 0 -42 + 3y = 30 Add '42' to each side of the equation. -42 + 42 + 3y = 30 + 42 Combine like terms: -42 + 42 = 0 0 + 3y = 30 + 42 3y = 30 + 42 Combine like terms: 30 + 42 = 72 3y = 72 Divide each side by '3'. y = 24 Simplifying y = 24
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