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Simplifying 14 + 4(y + -5) = 6 + -2y Reorder the terms: 14 + 4(-5 + y) = 6 + -2y 14 + (-5 * 4 + y * 4) = 6 + -2y 14 + (-20 + 4y) = 6 + -2y Combine like terms: 14 + -20 = -6 -6 + 4y = 6 + -2y Solving -6 + 4y = 6 + -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 + 4y + 2y = 6 + -2y + 2y Combine like terms: 4y + 2y = 6y -6 + 6y = 6 + -2y + 2y Combine like terms: -2y + 2y = 0 -6 + 6y = 6 + 0 -6 + 6y = 6 Add '6' to each side of the equation. -6 + 6 + 6y = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 6y = 6 + 6 6y = 6 + 6 Combine like terms: 6 + 6 = 12 6y = 12 Divide each side by '6'. y = 2 Simplifying y = 2
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