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Simplifying 5(y + 2) = 22 + -7y Reorder the terms: 5(2 + y) = 22 + -7y (2 * 5 + y * 5) = 22 + -7y (10 + 5y) = 22 + -7y Solving 10 + 5y = 22 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 10 + 5y + 7y = 22 + -7y + 7y Combine like terms: 5y + 7y = 12y 10 + 12y = 22 + -7y + 7y Combine like terms: -7y + 7y = 0 10 + 12y = 22 + 0 10 + 12y = 22 Add '-10' to each side of the equation. 10 + -10 + 12y = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 12y = 22 + -10 12y = 22 + -10 Combine like terms: 22 + -10 = 12 12y = 12 Divide each side by '12'. y = 1 Simplifying y = 1
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