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Simplifying -4y + -11 = 5y + 52 Reorder the terms: -11 + -4y = 5y + 52 Reorder the terms: -11 + -4y = 52 + 5y Solving -11 + -4y = 52 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -11 + -4y + -5y = 52 + 5y + -5y Combine like terms: -4y + -5y = -9y -11 + -9y = 52 + 5y + -5y Combine like terms: 5y + -5y = 0 -11 + -9y = 52 + 0 -11 + -9y = 52 Add '11' to each side of the equation. -11 + 11 + -9y = 52 + 11 Combine like terms: -11 + 11 = 0 0 + -9y = 52 + 11 -9y = 52 + 11 Combine like terms: 52 + 11 = 63 -9y = 63 Divide each side by '-9'. y = -7 Simplifying y = -7
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