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Simplifying -1(y + -5y) + 3(y + 4) = 32 Combine like terms: y + -5y = -4y -1(-4y) + 3(y + 4) = 32 Remove parenthesis around (-4y) -1 * -4y + 3(y + 4) = 32 Multiply -1 * -4 4y + 3(y + 4) = 32 Reorder the terms: 4y + 3(4 + y) = 32 4y + (4 * 3 + y * 3) = 32 4y + (12 + 3y) = 32 Reorder the terms: 12 + 4y + 3y = 32 Combine like terms: 4y + 3y = 7y 12 + 7y = 32 Solving 12 + 7y = 32 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7y = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 7y = 32 + -12 7y = 32 + -12 Combine like terms: 32 + -12 = 20 7y = 20 Divide each side by '7'. y = 2.857142857 Simplifying y = 2.857142857
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