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Simplifying -5(2y + -7) + -1y = -4(y + -4) Reorder the terms: -5(-7 + 2y) + -1y = -4(y + -4) (-7 * -5 + 2y * -5) + -1y = -4(y + -4) (35 + -10y) + -1y = -4(y + -4) Combine like terms: -10y + -1y = -11y 35 + -11y = -4(y + -4) Reorder the terms: 35 + -11y = -4(-4 + y) 35 + -11y = (-4 * -4 + y * -4) 35 + -11y = (16 + -4y) Solving 35 + -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. 35 + -11y + 4y = 16 + -4y + 4y Combine like terms: -11y + 4y = -7y 35 + -7y = 16 + -4y + 4y Combine like terms: -4y + 4y = 0 35 + -7y = 16 + 0 35 + -7y = 16 Add '-35' to each side of the equation. 35 + -35 + -7y = 16 + -35 Combine like terms: 35 + -35 = 0 0 + -7y = 16 + -35 -7y = 16 + -35 Combine like terms: 16 + -35 = -19 -7y = -19 Divide each side by '-7'. y = 2.714285714 Simplifying y = 2.714285714
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