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Simplifying 2(y + -1) = y + 3x(x + 1) Reorder the terms: 2(-1 + y) = y + 3x(x + 1) (-1 * 2 + y * 2) = y + 3x(x + 1) (-2 + 2y) = y + 3x(x + 1) Reorder the terms: -2 + 2y = y + 3x(1 + x) -2 + 2y = y + (1 * 3x + x * 3x) -2 + 2y = y + (3x + 3x2) Reorder the terms: -2 + 2y = 3x + 3x2 + y Solving -2 + 2y = 3x + 3x2 + 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. -2 + 2y + -1y = 3x + 3x2 + y + -1y Combine like terms: 2y + -1y = 1y -2 + 1y = 3x + 3x2 + y + -1y Combine like terms: y + -1y = 0 -2 + 1y = 3x + 3x2 + 0 -2 + 1y = 3x + 3x2 Add '2' to each side of the equation. -2 + 2 + 1y = 3x + 2 + 3x2 Combine like terms: -2 + 2 = 0 0 + 1y = 3x + 2 + 3x2 1y = 3x + 2 + 3x2 Reorder the terms: 1y = 2 + 3x + 3x2 Divide each side by '1'. y = 2 + 3x + 3x2 Simplifying y = 2 + 3x + 3x2
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