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Simplifying -5(4y + -2) + -1y = -4(y + -5) Reorder the terms: -5(-2 + 4y) + -1y = -4(y + -5) (-2 * -5 + 4y * -5) + -1y = -4(y + -5) (10 + -20y) + -1y = -4(y + -5) Combine like terms: -20y + -1y = -21y 10 + -21y = -4(y + -5) Reorder the terms: 10 + -21y = -4(-5 + y) 10 + -21y = (-5 * -4 + y * -4) 10 + -21y = (20 + -4y) Solving 10 + -21y = 20 + -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. 10 + -21y + 4y = 20 + -4y + 4y Combine like terms: -21y + 4y = -17y 10 + -17y = 20 + -4y + 4y Combine like terms: -4y + 4y = 0 10 + -17y = 20 + 0 10 + -17y = 20 Add '-10' to each side of the equation. 10 + -10 + -17y = 20 + -10 Combine like terms: 10 + -10 = 0 0 + -17y = 20 + -10 -17y = 20 + -10 Combine like terms: 20 + -10 = 10 -17y = 10 Divide each side by '-17'. y = -0.5882352941 Simplifying y = -0.5882352941
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