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Simplifying (y + -5y) + -1(y + 4) = 4y Combine like terms: y + -5y = -4y (-4y) + -1(y + 4) = 4y (-4y) + -1(y + 4) = 4y Reorder the terms: (-4y) + -1(4 + y) = 4y (-4y) + (4 * -1 + y * -1) = 4y (-4y) + (-4 + -1y) = 4y Reorder the terms: -4 + (-4y) + -1y = 4y Combine like terms: (-4y) + -1y = -5y -4 + -5y = 4y Solving -4 + -5y = 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 + -5y + -4y = 4y + -4y Combine like terms: -5y + -4y = -9y -4 + -9y = 4y + -4y Combine like terms: 4y + -4y = 0 -4 + -9y = 0 Add '4' to each side of the equation. -4 + 4 + -9y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -9y = 0 + 4 -9y = 0 + 4 Combine like terms: 0 + 4 = 4 -9y = 4 Divide each side by '-9'. y = -0.4444444444 Simplifying y = -0.4444444444
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