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Simplifying 6(5 + 3) = 6 * 5 + 6y Combine like terms: 5 + 3 = 8 6(8) = 6 * 5 + 6y Multiply 6 * 8 48 = 6 * 5 + 6y Multiply 6 * 5 48 = 30 + 6y Solving 48 = 30 + 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 = 30 + 6y + -6y Combine like terms: 6y + -6y = 0 48 + -6y = 30 + 0 48 + -6y = 30 Add '-48' to each side of the equation. 48 + -48 + -6y = 30 + -48 Combine like terms: 48 + -48 = 0 0 + -6y = 30 + -48 -6y = 30 + -48 Combine like terms: 30 + -48 = -18 -6y = -18 Divide each side by '-6'. y = 3 Simplifying y = 3
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