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Simplifying -5y + 4(-7 + 9) + -7(7 + 3y) = -7 Combine like terms: -7 + 9 = 2 -5y + 4(2) + -7(7 + 3y) = -7 Multiply 4 * 2 -5y + 8 + -7(7 + 3y) = -7 -5y + 8 + (7 * -7 + 3y * -7) = -7 -5y + 8 + (-49 + -21y) = -7 Reorder the terms: 8 + -49 + -5y + -21y = -7 Combine like terms: 8 + -49 = -41 -41 + -5y + -21y = -7 Combine like terms: -5y + -21y = -26y -41 + -26y = -7 Solving -41 + -26y = -7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -26y = -7 + 41 Combine like terms: -41 + 41 = 0 0 + -26y = -7 + 41 -26y = -7 + 41 Combine like terms: -7 + 41 = 34 -26y = 34 Divide each side by '-26'. y = -1.307692308 Simplifying y = -1.307692308
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