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Simplifying -5y + -7(3y + -5) = 6 + 2(-6 + -1y) Reorder the terms: -5y + -7(-5 + 3y) = 6 + 2(-6 + -1y) -5y + (-5 * -7 + 3y * -7) = 6 + 2(-6 + -1y) -5y + (35 + -21y) = 6 + 2(-6 + -1y) Reorder the terms: 35 + -5y + -21y = 6 + 2(-6 + -1y) Combine like terms: -5y + -21y = -26y 35 + -26y = 6 + 2(-6 + -1y) 35 + -26y = 6 + (-6 * 2 + -1y * 2) 35 + -26y = 6 + (-12 + -2y) Combine like terms: 6 + -12 = -6 35 + -26y = -6 + -2y Solving 35 + -26y = -6 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 35 + -26y + 2y = -6 + -2y + 2y Combine like terms: -26y + 2y = -24y 35 + -24y = -6 + -2y + 2y Combine like terms: -2y + 2y = 0 35 + -24y = -6 + 0 35 + -24y = -6 Add '-35' to each side of the equation. 35 + -35 + -24y = -6 + -35 Combine like terms: 35 + -35 = 0 0 + -24y = -6 + -35 -24y = -6 + -35 Combine like terms: -6 + -35 = -41 -24y = -41 Divide each side by '-24'. y = 1.708333333 Simplifying y = 1.708333333
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