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Simplifying 8(4 + 2) = 2(3y + 4) Combine like terms: 4 + 2 = 6 8(6) = 2(3y + 4) Multiply 8 * 6 48 = 2(3y + 4) Reorder the terms: 48 = 2(4 + 3y) 48 = (4 * 2 + 3y * 2) 48 = (8 + 6y) Solving 48 = 8 + 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. 48 + -6y = 8 + 6y + -6y Combine like terms: 6y + -6y = 0 48 + -6y = 8 + 0 48 + -6y = 8 Add '-48' to each side of the equation. 48 + -48 + -6y = 8 + -48 Combine like terms: 48 + -48 = 0 0 + -6y = 8 + -48 -6y = 8 + -48 Combine like terms: 8 + -48 = -40 -6y = -40 Divide each side by '-6'. y = 6.666666667 Simplifying y = 6.666666667
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