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Simplifying 7(5 + 4) + -5(y + 3) + (4 + -1y) = 0 Combine like terms: 5 + 4 = 9 7(9) + -5(y + 3) + (4 + -1y) = 0 Multiply 7 * 9 63 + -5(y + 3) + (4 + -1y) = 0 Reorder the terms: 63 + -5(3 + y) + (4 + -1y) = 0 63 + (3 * -5 + y * -5) + (4 + -1y) = 0 63 + (-15 + -5y) + (4 + -1y) = 0 Remove parenthesis around (4 + -1y) 63 + -15 + -5y + 4 + -1y = 0 Reorder the terms: 63 + -15 + 4 + -5y + -1y = 0 Combine like terms: 63 + -15 = 48 48 + 4 + -5y + -1y = 0 Combine like terms: 48 + 4 = 52 52 + -5y + -1y = 0 Combine like terms: -5y + -1y = -6y 52 + -6y = 0 Solving 52 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + -6y = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -6y = 0 + -52 -6y = 0 + -52 Combine like terms: 0 + -52 = -52 -6y = -52 Divide each side by '-6'. y = 8.666666667 Simplifying y = 8.666666667
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