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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 = 195 -3y = 195 Divide each side by '-3'. y = -65 Simplifying y = -65
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