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Simplifying 4 + 5(y + -1) = 3(y + -5) Reorder the terms: 4 + 5(-1 + y) = 3(y + -5) 4 + (-1 * 5 + y * 5) = 3(y + -5) 4 + (-5 + 5y) = 3(y + -5) Combine like terms: 4 + -5 = -1 -1 + 5y = 3(y + -5) Reorder the terms: -1 + 5y = 3(-5 + y) -1 + 5y = (-5 * 3 + y * 3) -1 + 5y = (-15 + 3y) Solving -1 + 5y = -15 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -1 + 5y + -3y = -15 + 3y + -3y Combine like terms: 5y + -3y = 2y -1 + 2y = -15 + 3y + -3y Combine like terms: 3y + -3y = 0 -1 + 2y = -15 + 0 -1 + 2y = -15 Add '1' to each side of the equation. -1 + 1 + 2y = -15 + 1 Combine like terms: -1 + 1 = 0 0 + 2y = -15 + 1 2y = -15 + 1 Combine like terms: -15 + 1 = -14 2y = -14 Divide each side by '2'. y = -7 Simplifying y = -7
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