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Simplifying 2y + -1(3 + 7y) = 11 + -3y 2y + (3 * -1 + 7y * -1) = 11 + -3y 2y + (-3 + -7y) = 11 + -3y Reorder the terms: -3 + 2y + -7y = 11 + -3y Combine like terms: 2y + -7y = -5y -3 + -5y = 11 + -3y Solving -3 + -5y = 11 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -3 + -5y + 3y = 11 + -3y + 3y Combine like terms: -5y + 3y = -2y -3 + -2y = 11 + -3y + 3y Combine like terms: -3y + 3y = 0 -3 + -2y = 11 + 0 -3 + -2y = 11 Add '3' to each side of the equation. -3 + 3 + -2y = 11 + 3 Combine like terms: -3 + 3 = 0 0 + -2y = 11 + 3 -2y = 11 + 3 Combine like terms: 11 + 3 = 14 -2y = 14 Divide each side by '-2'. y = -7 Simplifying y = -7
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