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Simplifying (4y + -3) + -1(4 + -1y) = 3(y + 3) Reorder the terms: (-3 + 4y) + -1(4 + -1y) = 3(y + 3) Remove parenthesis around (-3 + 4y) -3 + 4y + -1(4 + -1y) = 3(y + 3) -3 + 4y + (4 * -1 + -1y * -1) = 3(y + 3) -3 + 4y + (-4 + 1y) = 3(y + 3) Reorder the terms: -3 + -4 + 4y + 1y = 3(y + 3) Combine like terms: -3 + -4 = -7 -7 + 4y + 1y = 3(y + 3) Combine like terms: 4y + 1y = 5y -7 + 5y = 3(y + 3) Reorder the terms: -7 + 5y = 3(3 + y) -7 + 5y = (3 * 3 + y * 3) -7 + 5y = (9 + 3y) Solving -7 + 5y = 9 + 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. -7 + 5y + -3y = 9 + 3y + -3y Combine like terms: 5y + -3y = 2y -7 + 2y = 9 + 3y + -3y Combine like terms: 3y + -3y = 0 -7 + 2y = 9 + 0 -7 + 2y = 9 Add '7' to each side of the equation. -7 + 7 + 2y = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 2y = 9 + 7 2y = 9 + 7 Combine like terms: 9 + 7 = 16 2y = 16 Divide each side by '2'. y = 8 Simplifying y = 8
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