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Simplifying 2y + 8 + -14 = 5y + -12 + 3y Reorder the terms: 8 + -14 + 2y = 5y + -12 + 3y Combine like terms: 8 + -14 = -6 -6 + 2y = 5y + -12 + 3y Reorder the terms: -6 + 2y = -12 + 5y + 3y Combine like terms: 5y + 3y = 8y -6 + 2y = -12 + 8y Solving -6 + 2y = -12 + 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. -6 + 2y + -8y = -12 + 8y + -8y Combine like terms: 2y + -8y = -6y -6 + -6y = -12 + 8y + -8y Combine like terms: 8y + -8y = 0 -6 + -6y = -12 + 0 -6 + -6y = -12 Add '6' to each side of the equation. -6 + 6 + -6y = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -6y = -12 + 6 -6y = -12 + 6 Combine like terms: -12 + 6 = -6 -6y = -6 Divide each side by '-6'. y = 1 Simplifying y = 1
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