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Simplifying -4(5y + -9) + -1y = -4(y + -2) Reorder the terms: -4(-9 + 5y) + -1y = -4(y + -2) (-9 * -4 + 5y * -4) + -1y = -4(y + -2) (36 + -20y) + -1y = -4(y + -2) Combine like terms: -20y + -1y = -21y 36 + -21y = -4(y + -2) Reorder the terms: 36 + -21y = -4(-2 + y) 36 + -21y = (-2 * -4 + y * -4) 36 + -21y = (8 + -4y) Solving 36 + -21y = 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. 36 + -21y + 4y = 8 + -4y + 4y Combine like terms: -21y + 4y = -17y 36 + -17y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 36 + -17y = 8 + 0 36 + -17y = 8 Add '-36' to each side of the equation. 36 + -36 + -17y = 8 + -36 Combine like terms: 36 + -36 = 0 0 + -17y = 8 + -36 -17y = 8 + -36 Combine like terms: 8 + -36 = -28 -17y = -28 Divide each side by '-17'. y = 1.647058824 Simplifying y = 1.647058824
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