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