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Simplifying -5y + 11 = 4(2 + -1y + 1) Reorder the terms: 11 + -5y = 4(2 + -1y + 1) Reorder the terms: 11 + -5y = 4(2 + 1 + -1y) Combine like terms: 2 + 1 = 3 11 + -5y = 4(3 + -1y) 11 + -5y = (3 * 4 + -1y * 4) 11 + -5y = (12 + -4y) Solving 11 + -5y = 12 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 11 + -5y + 4y = 12 + -4y + 4y Combine like terms: -5y + 4y = -1y 11 + -1y = 12 + -4y + 4y Combine like terms: -4y + 4y = 0 11 + -1y = 12 + 0 11 + -1y = 12 Add '-11' to each side of the equation. 11 + -11 + -1y = 12 + -11 Combine like terms: 11 + -11 = 0 0 + -1y = 12 + -11 -1y = 12 + -11 Combine like terms: 12 + -11 = 1 -1y = 1 Divide each side by '-1'. y = -1 Simplifying y = -1
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