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Simplifying 2y + -1(5y + 6) = 2y + 14 Reorder the terms: 2y + -1(6 + 5y) = 2y + 14 2y + (6 * -1 + 5y * -1) = 2y + 14 2y + (-6 + -5y) = 2y + 14 Reorder the terms: -6 + 2y + -5y = 2y + 14 Combine like terms: 2y + -5y = -3y -6 + -3y = 2y + 14 Reorder the terms: -6 + -3y = 14 + 2y Solving -6 + -3y = 14 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -6 + -3y + -2y = 14 + 2y + -2y Combine like terms: -3y + -2y = -5y -6 + -5y = 14 + 2y + -2y Combine like terms: 2y + -2y = 0 -6 + -5y = 14 + 0 -6 + -5y = 14 Add '6' to each side of the equation. -6 + 6 + -5y = 14 + 6 Combine like terms: -6 + 6 = 0 0 + -5y = 14 + 6 -5y = 14 + 6 Combine like terms: 14 + 6 = 20 -5y = 20 Divide each side by '-5'. y = -4 Simplifying y = -4
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