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Simplifying 6y + -14 = 2(4y + 10) Reorder the terms: -14 + 6y = 2(4y + 10) Reorder the terms: -14 + 6y = 2(10 + 4y) -14 + 6y = (10 * 2 + 4y * 2) -14 + 6y = (20 + 8y) Solving -14 + 6y = 20 + 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 + 6y + -8y = 20 + 8y + -8y Combine like terms: 6y + -8y = -2y -14 + -2y = 20 + 8y + -8y Combine like terms: 8y + -8y = 0 -14 + -2y = 20 + 0 -14 + -2y = 20 Add '14' to each side of the equation. -14 + 14 + -2y = 20 + 14 Combine like terms: -14 + 14 = 0 0 + -2y = 20 + 14 -2y = 20 + 14 Combine like terms: 20 + 14 = 34 -2y = 34 Divide each side by '-2'. y = -17 Simplifying y = -17
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