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Simplifying (8y + -7) + -1(5y + 1) = 4 Reorder the terms: (-7 + 8y) + -1(5y + 1) = 4 Remove parenthesis around (-7 + 8y) -7 + 8y + -1(5y + 1) = 4 Reorder the terms: -7 + 8y + -1(1 + 5y) = 4 -7 + 8y + (1 * -1 + 5y * -1) = 4 -7 + 8y + (-1 + -5y) = 4 Reorder the terms: -7 + -1 + 8y + -5y = 4 Combine like terms: -7 + -1 = -8 -8 + 8y + -5y = 4 Combine like terms: 8y + -5y = 3y -8 + 3y = 4 Solving -8 + 3y = 4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3y = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 3y = 4 + 8 3y = 4 + 8 Combine like terms: 4 + 8 = 12 3y = 12 Divide each side by '3'. y = 4 Simplifying y = 4
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