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Simplifying 7y + -2 = 19y + 82 Reorder the terms: -2 + 7y = 19y + 82 Reorder the terms: -2 + 7y = 82 + 19y Solving -2 + 7y = 82 + 19y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-19y' to each side of the equation. -2 + 7y + -19y = 82 + 19y + -19y Combine like terms: 7y + -19y = -12y -2 + -12y = 82 + 19y + -19y Combine like terms: 19y + -19y = 0 -2 + -12y = 82 + 0 -2 + -12y = 82 Add '2' to each side of the equation. -2 + 2 + -12y = 82 + 2 Combine like terms: -2 + 2 = 0 0 + -12y = 82 + 2 -12y = 82 + 2 Combine like terms: 82 + 2 = 84 -12y = 84 Divide each side by '-12'. y = -7 Simplifying y = -7
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