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Simplifying 11(y + -6) + 5(y + -7) = 0 Reorder the terms: 11(-6 + y) + 5(y + -7) = 0 (-6 * 11 + y * 11) + 5(y + -7) = 0 (-66 + 11y) + 5(y + -7) = 0 Reorder the terms: -66 + 11y + 5(-7 + y) = 0 -66 + 11y + (-7 * 5 + y * 5) = 0 -66 + 11y + (-35 + 5y) = 0 Reorder the terms: -66 + -35 + 11y + 5y = 0 Combine like terms: -66 + -35 = -101 -101 + 11y + 5y = 0 Combine like terms: 11y + 5y = 16y -101 + 16y = 0 Solving -101 + 16y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '101' to each side of the equation. -101 + 101 + 16y = 0 + 101 Combine like terms: -101 + 101 = 0 0 + 16y = 0 + 101 16y = 0 + 101 Combine like terms: 0 + 101 = 101 16y = 101 Divide each side by '16'. y = 6.3125 Simplifying y = 6.3125
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