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Simplifying 4 + -1(5y + 7) = -3(8 + -1y) Reorder the terms: 4 + -1(7 + 5y) = -3(8 + -1y) 4 + (7 * -1 + 5y * -1) = -3(8 + -1y) 4 + (-7 + -5y) = -3(8 + -1y) Combine like terms: 4 + -7 = -3 -3 + -5y = -3(8 + -1y) -3 + -5y = (8 * -3 + -1y * -3) -3 + -5y = (-24 + 3y) Solving -3 + -5y = -24 + 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. -3 + -5y + -3y = -24 + 3y + -3y Combine like terms: -5y + -3y = -8y -3 + -8y = -24 + 3y + -3y Combine like terms: 3y + -3y = 0 -3 + -8y = -24 + 0 -3 + -8y = -24 Add '3' to each side of the equation. -3 + 3 + -8y = -24 + 3 Combine like terms: -3 + 3 = 0 0 + -8y = -24 + 3 -8y = -24 + 3 Combine like terms: -24 + 3 = -21 -8y = -21 Divide each side by '-8'. y = 2.625 Simplifying y = 2.625
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