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Simplifying 7y + -2(y + -3) = 8y + -1(4y + 11) Reorder the terms: 7y + -2(-3 + y) = 8y + -1(4y + 11) 7y + (-3 * -2 + y * -2) = 8y + -1(4y + 11) 7y + (6 + -2y) = 8y + -1(4y + 11) Reorder the terms: 6 + 7y + -2y = 8y + -1(4y + 11) Combine like terms: 7y + -2y = 5y 6 + 5y = 8y + -1(4y + 11) Reorder the terms: 6 + 5y = 8y + -1(11 + 4y) 6 + 5y = 8y + (11 * -1 + 4y * -1) 6 + 5y = 8y + (-11 + -4y) Reorder the terms: 6 + 5y = -11 + 8y + -4y Combine like terms: 8y + -4y = 4y 6 + 5y = -11 + 4y Solving 6 + 5y = -11 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 6 + 5y + -4y = -11 + 4y + -4y Combine like terms: 5y + -4y = 1y 6 + 1y = -11 + 4y + -4y Combine like terms: 4y + -4y = 0 6 + 1y = -11 + 0 6 + 1y = -11 Add '-6' to each side of the equation. 6 + -6 + 1y = -11 + -6 Combine like terms: 6 + -6 = 0 0 + 1y = -11 + -6 1y = -11 + -6 Combine like terms: -11 + -6 = -17 1y = -17 Divide each side by '1'. y = -17 Simplifying y = -17
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