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Simplifying (y + -4) + -1y = 4(y + -5) Reorder the terms: (-4 + y) + -1y = 4(y + -5) Remove parenthesis around (-4 + y) -4 + y + -1y = 4(y + -5) Combine like terms: y + -1y = 0 -4 + 0 = 4(y + -5) -4 = 4(y + -5) Reorder the terms: -4 = 4(-5 + y) -4 = (-5 * 4 + y * 4) -4 = (-20 + 4y) Solving -4 = -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. -4 + -4y = -20 + 4y + -4y Combine like terms: 4y + -4y = 0 -4 + -4y = -20 + 0 -4 + -4y = -20 Add '4' to each side of the equation. -4 + 4 + -4y = -20 + 4 Combine like terms: -4 + 4 = 0 0 + -4y = -20 + 4 -4y = -20 + 4 Combine like terms: -20 + 4 = -16 -4y = -16 Divide each side by '-4'. y = 4 Simplifying y = 4
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