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Simplifying -5y + -3(3y + -5) = 6y + -5 Reorder the terms: -5y + -3(-5 + 3y) = 6y + -5 -5y + (-5 * -3 + 3y * -3) = 6y + -5 -5y + (15 + -9y) = 6y + -5 Reorder the terms: 15 + -5y + -9y = 6y + -5 Combine like terms: -5y + -9y = -14y 15 + -14y = 6y + -5 Reorder the terms: 15 + -14y = -5 + 6y Solving 15 + -14y = -5 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 15 + -14y + -6y = -5 + 6y + -6y Combine like terms: -14y + -6y = -20y 15 + -20y = -5 + 6y + -6y Combine like terms: 6y + -6y = 0 15 + -20y = -5 + 0 15 + -20y = -5 Add '-15' to each side of the equation. 15 + -15 + -20y = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -20y = -5 + -15 -20y = -5 + -15 Combine like terms: -5 + -15 = -20 -20y = -20 Divide each side by '-20'. y = 1 Simplifying y = 1
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