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Simplifying 6(y + 3) = 8y + 10 Reorder the terms: 6(3 + y) = 8y + 10 (3 * 6 + y * 6) = 8y + 10 (18 + 6y) = 8y + 10 Reorder the terms: 18 + 6y = 10 + 8y Solving 18 + 6y = 10 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 18 + 6y + -8y = 10 + 8y + -8y Combine like terms: 6y + -8y = -2y 18 + -2y = 10 + 8y + -8y Combine like terms: 8y + -8y = 0 18 + -2y = 10 + 0 18 + -2y = 10 Add '-18' to each side of the equation. 18 + -18 + -2y = 10 + -18 Combine like terms: 18 + -18 = 0 0 + -2y = 10 + -18 -2y = 10 + -18 Combine like terms: 10 + -18 = -8 -2y = -8 Divide each side by '-2'. y = 4 Simplifying y = 4
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