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Simplifying 3[10 + (3x + -1) + -1(4 + -1x)] = 5(y + 10) Reorder the terms: 3[10 + (-1 + 3x) + -1(4 + -1x)] = 5(y + 10) Remove parenthesis around (-1 + 3x) 3[10 + -1 + 3x + -1(4 + -1x)] = 5(y + 10) 3[10 + -1 + 3x + (4 * -1 + -1x * -1)] = 5(y + 10) 3[10 + -1 + 3x + (-4 + 1x)] = 5(y + 10) Reorder the terms: 3[10 + -1 + -4 + 3x + 1x] = 5(y + 10) Combine like terms: 10 + -1 = 9 3[9 + -4 + 3x + 1x] = 5(y + 10) Combine like terms: 9 + -4 = 5 3[5 + 3x + 1x] = 5(y + 10) Combine like terms: 3x + 1x = 4x 3[5 + 4x] = 5(y + 10) [5 * 3 + 4x * 3] = 5(y + 10) [15 + 12x] = 5(y + 10) Reorder the terms: 15 + 12x = 5(10 + y) 15 + 12x = (10 * 5 + y * 5) 15 + 12x = (50 + 5y) Solving 15 + 12x = 50 + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 12x = 50 + -15 + 5y Combine like terms: 15 + -15 = 0 0 + 12x = 50 + -15 + 5y 12x = 50 + -15 + 5y Combine like terms: 50 + -15 = 35 12x = 35 + 5y Divide each side by '12'. x = 2.916666667 + 0.4166666667y Simplifying x = 2.916666667 + 0.4166666667y
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