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Simplifying 7(y + -2) + 22 = 4y + 32 Reorder the terms: 7(-2 + y) + 22 = 4y + 32 (-2 * 7 + y * 7) + 22 = 4y + 32 (-14 + 7y) + 22 = 4y + 32 Reorder the terms: -14 + 22 + 7y = 4y + 32 Combine like terms: -14 + 22 = 8 8 + 7y = 4y + 32 Reorder the terms: 8 + 7y = 32 + 4y Solving 8 + 7y = 32 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 8 + 7y + -4y = 32 + 4y + -4y Combine like terms: 7y + -4y = 3y 8 + 3y = 32 + 4y + -4y Combine like terms: 4y + -4y = 0 8 + 3y = 32 + 0 8 + 3y = 32 Add '-8' to each side of the equation. 8 + -8 + 3y = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 3y = 32 + -8 3y = 32 + -8 Combine like terms: 32 + -8 = 24 3y = 24 Divide each side by '3'. y = 8 Simplifying y = 8
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