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Simplifying (8y + -102) = (2y + 6) Reorder the terms: (-102 + 8y) = (2y + 6) Remove parenthesis around (-102 + 8y) -102 + 8y = (2y + 6) Reorder the terms: -102 + 8y = (6 + 2y) Remove parenthesis around (6 + 2y) -102 + 8y = 6 + 2y Solving -102 + 8y = 6 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -102 + 8y + -2y = 6 + 2y + -2y Combine like terms: 8y + -2y = 6y -102 + 6y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 -102 + 6y = 6 + 0 -102 + 6y = 6 Add '102' to each side of the equation. -102 + 102 + 6y = 6 + 102 Combine like terms: -102 + 102 = 0 0 + 6y = 6 + 102 6y = 6 + 102 Combine like terms: 6 + 102 = 108 6y = 108 Divide each side by '6'. y = 18 Simplifying y = 18
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