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Simplifying 7y + -42 = 3y + 22 Reorder the terms: -42 + 7y = 3y + 22 Reorder the terms: -42 + 7y = 22 + 3y Solving -42 + 7y = 22 + 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 + 7y + -3y = 22 + 3y + -3y Combine like terms: 7y + -3y = 4y -42 + 4y = 22 + 3y + -3y Combine like terms: 3y + -3y = 0 -42 + 4y = 22 + 0 -42 + 4y = 22 Add '42' to each side of the equation. -42 + 42 + 4y = 22 + 42 Combine like terms: -42 + 42 = 0 0 + 4y = 22 + 42 4y = 22 + 42 Combine like terms: 22 + 42 = 64 4y = 64 Divide each side by '4'. y = 16 Simplifying y = 16
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