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Simplifying (19y + 8) + -1(7y + 10) = 22 Reorder the terms: (8 + 19y) + -1(7y + 10) = 22 Remove parenthesis around (8 + 19y) 8 + 19y + -1(7y + 10) = 22 Reorder the terms: 8 + 19y + -1(10 + 7y) = 22 8 + 19y + (10 * -1 + 7y * -1) = 22 8 + 19y + (-10 + -7y) = 22 Reorder the terms: 8 + -10 + 19y + -7y = 22 Combine like terms: 8 + -10 = -2 -2 + 19y + -7y = 22 Combine like terms: 19y + -7y = 12y -2 + 12y = 22 Solving -2 + 12y = 22 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 12y = 22 + 2 Combine like terms: -2 + 2 = 0 0 + 12y = 22 + 2 12y = 22 + 2 Combine like terms: 22 + 2 = 24 12y = 24 Divide each side by '12'. y = 2 Simplifying y = 2
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