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Simplifying -4(y + 1) = -5(3y + -1) + 5y Reorder the terms: -4(1 + y) = -5(3y + -1) + 5y (1 * -4 + y * -4) = -5(3y + -1) + 5y (-4 + -4y) = -5(3y + -1) + 5y Reorder the terms: -4 + -4y = -5(-1 + 3y) + 5y -4 + -4y = (-1 * -5 + 3y * -5) + 5y -4 + -4y = (5 + -15y) + 5y Combine like terms: -15y + 5y = -10y -4 + -4y = 5 + -10y Solving -4 + -4y = 5 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. -4 + -4y + 10y = 5 + -10y + 10y Combine like terms: -4y + 10y = 6y -4 + 6y = 5 + -10y + 10y Combine like terms: -10y + 10y = 0 -4 + 6y = 5 + 0 -4 + 6y = 5 Add '4' to each side of the equation. -4 + 4 + 6y = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 6y = 5 + 4 6y = 5 + 4 Combine like terms: 5 + 4 = 9 6y = 9 Divide each side by '6'. y = 1.5 Simplifying y = 1.5
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