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Simplifying 13(4y + 11) = 7 + 5(11y + 9) Reorder the terms: 13(11 + 4y) = 7 + 5(11y + 9) (11 * 13 + 4y * 13) = 7 + 5(11y + 9) (143 + 52y) = 7 + 5(11y + 9) Reorder the terms: 143 + 52y = 7 + 5(9 + 11y) 143 + 52y = 7 + (9 * 5 + 11y * 5) 143 + 52y = 7 + (45 + 55y) Combine like terms: 7 + 45 = 52 143 + 52y = 52 + 55y Solving 143 + 52y = 52 + 55y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-55y' to each side of the equation. 143 + 52y + -55y = 52 + 55y + -55y Combine like terms: 52y + -55y = -3y 143 + -3y = 52 + 55y + -55y Combine like terms: 55y + -55y = 0 143 + -3y = 52 + 0 143 + -3y = 52 Add '-143' to each side of the equation. 143 + -143 + -3y = 52 + -143 Combine like terms: 143 + -143 = 0 0 + -3y = 52 + -143 -3y = 52 + -143 Combine like terms: 52 + -143 = -91 -3y = -91 Divide each side by '-3'. y = 30.33333333 Simplifying y = 30.33333333
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