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Simplifying -5(2y + -7) + -1y = -2(y + -3) Reorder the terms: -5(-7 + 2y) + -1y = -2(y + -3) (-7 * -5 + 2y * -5) + -1y = -2(y + -3) (35 + -10y) + -1y = -2(y + -3) Combine like terms: -10y + -1y = -11y 35 + -11y = -2(y + -3) Reorder the terms: 35 + -11y = -2(-3 + y) 35 + -11y = (-3 * -2 + y * -2) 35 + -11y = (6 + -2y) Solving 35 + -11y = 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 + -11y + 2y = 6 + -2y + 2y Combine like terms: -11y + 2y = -9y 35 + -9y = 6 + -2y + 2y Combine like terms: -2y + 2y = 0 35 + -9y = 6 + 0 35 + -9y = 6 Add '-35' to each side of the equation. 35 + -35 + -9y = 6 + -35 Combine like terms: 35 + -35 = 0 0 + -9y = 6 + -35 -9y = 6 + -35 Combine like terms: 6 + -35 = -29 -9y = -29 Divide each side by '-9'. y = 3.222222222 Simplifying y = 3.222222222
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