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Simplifying -5(2y + -9) + -1y = -4(y + -2) Reorder the terms: -5(-9 + 2y) + -1y = -4(y + -2) (-9 * -5 + 2y * -5) + -1y = -4(y + -2) (45 + -10y) + -1y = -4(y + -2) Combine like terms: -10y + -1y = -11y 45 + -11y = -4(y + -2) Reorder the terms: 45 + -11y = -4(-2 + y) 45 + -11y = (-2 * -4 + y * -4) 45 + -11y = (8 + -4y) Solving 45 + -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. 45 + -11y + 4y = 8 + -4y + 4y Combine like terms: -11y + 4y = -7y 45 + -7y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 45 + -7y = 8 + 0 45 + -7y = 8 Add '-45' to each side of the equation. 45 + -45 + -7y = 8 + -45 Combine like terms: 45 + -45 = 0 0 + -7y = 8 + -45 -7y = 8 + -45 Combine like terms: 8 + -45 = -37 -7y = -37 Divide each side by '-7'. y = 5.285714286 Simplifying y = 5.285714286
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