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Simplifying 10y + 18 = 4(2y + 7) Reorder the terms: 18 + 10y = 4(2y + 7) Reorder the terms: 18 + 10y = 4(7 + 2y) 18 + 10y = (7 * 4 + 2y * 4) 18 + 10y = (28 + 8y) Solving 18 + 10y = 28 + 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 + 10y + -8y = 28 + 8y + -8y Combine like terms: 10y + -8y = 2y 18 + 2y = 28 + 8y + -8y Combine like terms: 8y + -8y = 0 18 + 2y = 28 + 0 18 + 2y = 28 Add '-18' to each side of the equation. 18 + -18 + 2y = 28 + -18 Combine like terms: 18 + -18 = 0 0 + 2y = 28 + -18 2y = 28 + -18 Combine like terms: 28 + -18 = 10 2y = 10 Divide each side by '2'. y = 5 Simplifying y = 5
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