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Simplifying -5(2y + -8) + -1y = -4(y + -2) Reorder the terms: -5(-8 + 2y) + -1y = -4(y + -2) (-8 * -5 + 2y * -5) + -1y = -4(y + -2) (40 + -10y) + -1y = -4(y + -2) Combine like terms: -10y + -1y = -11y 40 + -11y = -4(y + -2) Reorder the terms: 40 + -11y = -4(-2 + y) 40 + -11y = (-2 * -4 + y * -4) 40 + -11y = (8 + -4y) Solving 40 + -11y = 8 + -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. 40 + -11y + 4y = 8 + -4y + 4y Combine like terms: -11y + 4y = -7y 40 + -7y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 40 + -7y = 8 + 0 40 + -7y = 8 Add '-40' to each side of the equation. 40 + -40 + -7y = 8 + -40 Combine like terms: 40 + -40 = 0 0 + -7y = 8 + -40 -7y = 8 + -40 Combine like terms: 8 + -40 = -32 -7y = -32 Divide each side by '-7'. y = 4.571428571 Simplifying y = 4.571428571
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