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Simplifying -2(5y + -7) + -1y = -4(y + -4) Reorder the terms: -2(-7 + 5y) + -1y = -4(y + -4) (-7 * -2 + 5y * -2) + -1y = -4(y + -4) (14 + -10y) + -1y = -4(y + -4) Combine like terms: -10y + -1y = -11y 14 + -11y = -4(y + -4) Reorder the terms: 14 + -11y = -4(-4 + y) 14 + -11y = (-4 * -4 + y * -4) 14 + -11y = (16 + -4y) Solving 14 + -11y = 16 + -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. 14 + -11y + 4y = 16 + -4y + 4y Combine like terms: -11y + 4y = -7y 14 + -7y = 16 + -4y + 4y Combine like terms: -4y + 4y = 0 14 + -7y = 16 + 0 14 + -7y = 16 Add '-14' to each side of the equation. 14 + -14 + -7y = 16 + -14 Combine like terms: 14 + -14 = 0 0 + -7y = 16 + -14 -7y = 16 + -14 Combine like terms: 16 + -14 = 2 -7y = 2 Divide each side by '-7'. y = -0.2857142857 Simplifying y = -0.2857142857
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