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Simplifying (4y + -7) + -1(3 + 3y) = 7 Reorder the terms: (-7 + 4y) + -1(3 + 3y) = 7 Remove parenthesis around (-7 + 4y) -7 + 4y + -1(3 + 3y) = 7 -7 + 4y + (3 * -1 + 3y * -1) = 7 -7 + 4y + (-3 + -3y) = 7 Reorder the terms: -7 + -3 + 4y + -3y = 7 Combine like terms: -7 + -3 = -10 -10 + 4y + -3y = 7 Combine like terms: 4y + -3y = 1y -10 + 1y = 7 Solving -10 + 1y = 7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 1y = 7 + 10 Combine like terms: -10 + 10 = 0 0 + 1y = 7 + 10 1y = 7 + 10 Combine like terms: 7 + 10 = 17 1y = 17 Divide each side by '1'. y = 17 Simplifying y = 17
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