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Simplifying 8y + -1(3y + 7) = 14 + -4(y + -6) Reorder the terms: 8y + -1(7 + 3y) = 14 + -4(y + -6) 8y + (7 * -1 + 3y * -1) = 14 + -4(y + -6) 8y + (-7 + -3y) = 14 + -4(y + -6) Reorder the terms: -7 + 8y + -3y = 14 + -4(y + -6) Combine like terms: 8y + -3y = 5y -7 + 5y = 14 + -4(y + -6) Reorder the terms: -7 + 5y = 14 + -4(-6 + y) -7 + 5y = 14 + (-6 * -4 + y * -4) -7 + 5y = 14 + (24 + -4y) Combine like terms: 14 + 24 = 38 -7 + 5y = 38 + -4y Solving -7 + 5y = 38 + -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. -7 + 5y + 4y = 38 + -4y + 4y Combine like terms: 5y + 4y = 9y -7 + 9y = 38 + -4y + 4y Combine like terms: -4y + 4y = 0 -7 + 9y = 38 + 0 -7 + 9y = 38 Add '7' to each side of the equation. -7 + 7 + 9y = 38 + 7 Combine like terms: -7 + 7 = 0 0 + 9y = 38 + 7 9y = 38 + 7 Combine like terms: 38 + 7 = 45 9y = 45 Divide each side by '9'. y = 5 Simplifying y = 5
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