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Simplifying 7y + -2(y + -7) = 11y + -1(77y + 10) Reorder the terms: 7y + -2(-7 + y) = 11y + -1(77y + 10) 7y + (-7 * -2 + y * -2) = 11y + -1(77y + 10) 7y + (14 + -2y) = 11y + -1(77y + 10) Reorder the terms: 14 + 7y + -2y = 11y + -1(77y + 10) Combine like terms: 7y + -2y = 5y 14 + 5y = 11y + -1(77y + 10) Reorder the terms: 14 + 5y = 11y + -1(10 + 77y) 14 + 5y = 11y + (10 * -1 + 77y * -1) 14 + 5y = 11y + (-10 + -77y) Reorder the terms: 14 + 5y = -10 + 11y + -77y Combine like terms: 11y + -77y = -66y 14 + 5y = -10 + -66y Solving 14 + 5y = -10 + -66y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '66y' to each side of the equation. 14 + 5y + 66y = -10 + -66y + 66y Combine like terms: 5y + 66y = 71y 14 + 71y = -10 + -66y + 66y Combine like terms: -66y + 66y = 0 14 + 71y = -10 + 0 14 + 71y = -10 Add '-14' to each side of the equation. 14 + -14 + 71y = -10 + -14 Combine like terms: 14 + -14 = 0 0 + 71y = -10 + -14 71y = -10 + -14 Combine like terms: -10 + -14 = -24 71y = -24 Divide each side by '71'. y = -0.338028169 Simplifying y = -0.338028169
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