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Simplifying (x + -4) + (3y) = x + y + 5 Reorder the terms: (-4 + x) + (3y) = x + y + 5 Remove parenthesis around (-4 + x) -4 + x + (3y) = x + y + 5 Reorder the terms: -4 + x + (3y) = 5 + x + y Add '-1x' to each side of the equation. -4 + x + -1x + (3y) = 5 + x + -1x + y Combine like terms: x + -1x = 0 -4 + 0 + (3y) = 5 + x + -1x + y -4 + (3y) = 5 + x + -1x + y Combine like terms: x + -1x = 0 -4 + (3y) = 5 + 0 + y -4 + (3y) = 5 + y Solving -4 + (3y) = 5 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -4 + (3y) + -1y = 5 + y + -1y Combine like terms: (3y) + -1y = 2y -4 + 2y = 5 + y + -1y Combine like terms: y + -1y = 0 -4 + 2y = 5 + 0 -4 + 2y = 5 Add '4' to each side of the equation. -4 + 4 + 2y = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 2y = 5 + 4 2y = 5 + 4 Combine like terms: 5 + 4 = 9 2y = 9 Divide each side by '2'. y = 4.5 Simplifying y = 4.5
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