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Simplifying 8(10 + 8) = 6(y + 6) Combine like terms: 10 + 8 = 18 8(18) = 6(y + 6) Multiply 8 * 18 144 = 6(y + 6) Reorder the terms: 144 = 6(6 + y) 144 = (6 * 6 + y * 6) 144 = (36 + 6y) Solving 144 = 36 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 144 + -6y = 36 + 6y + -6y Combine like terms: 6y + -6y = 0 144 + -6y = 36 + 0 144 + -6y = 36 Add '-144' to each side of the equation. 144 + -144 + -6y = 36 + -144 Combine like terms: 144 + -144 = 0 0 + -6y = 36 + -144 -6y = 36 + -144 Combine like terms: 36 + -144 = -108 -6y = -108 Divide each side by '-6'. y = 18 Simplifying y = 18
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