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Simplifying 10y + -14 = 2(4y + 3) Reorder the terms: -14 + 10y = 2(4y + 3) Reorder the terms: -14 + 10y = 2(3 + 4y) -14 + 10y = (3 * 2 + 4y * 2) -14 + 10y = (6 + 8y) Solving -14 + 10y = 6 + 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. -14 + 10y + -8y = 6 + 8y + -8y Combine like terms: 10y + -8y = 2y -14 + 2y = 6 + 8y + -8y Combine like terms: 8y + -8y = 0 -14 + 2y = 6 + 0 -14 + 2y = 6 Add '14' to each side of the equation. -14 + 14 + 2y = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 2y = 6 + 14 2y = 6 + 14 Combine like terms: 6 + 14 = 20 2y = 20 Divide each side by '2'. y = 10 Simplifying y = 10
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