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Simplifying 3(j + 5) = 8(y + 6) Reorder the terms: 3(5 + j) = 8(y + 6) (5 * 3 + j * 3) = 8(y + 6) (15 + 3j) = 8(y + 6) Reorder the terms: 15 + 3j = 8(6 + y) 15 + 3j = (6 * 8 + y * 8) 15 + 3j = (48 + 8y) Solving 15 + 3j = 48 + 8y Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 3j = 48 + -15 + 8y Combine like terms: 15 + -15 = 0 0 + 3j = 48 + -15 + 8y 3j = 48 + -15 + 8y Combine like terms: 48 + -15 = 33 3j = 33 + 8y Divide each side by '3'. j = 11 + 2.666666667y Simplifying j = 11 + 2.666666667y
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