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Simplifying -5y + 11 = -4(2y + 1) Reorder the terms: 11 + -5y = -4(2y + 1) Reorder the terms: 11 + -5y = -4(1 + 2y) 11 + -5y = (1 * -4 + 2y * -4) 11 + -5y = (-4 + -8y) Solving 11 + -5y = -4 + -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. 11 + -5y + 8y = -4 + -8y + 8y Combine like terms: -5y + 8y = 3y 11 + 3y = -4 + -8y + 8y Combine like terms: -8y + 8y = 0 11 + 3y = -4 + 0 11 + 3y = -4 Add '-11' to each side of the equation. 11 + -11 + 3y = -4 + -11 Combine like terms: 11 + -11 = 0 0 + 3y = -4 + -11 3y = -4 + -11 Combine like terms: -4 + -11 = -15 3y = -15 Divide each side by '3'. y = -5 Simplifying y = -5
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