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Simplifying 3(y + -4) + y2 = y(y + 3) + -12 Reorder the terms: 3(-4 + y) + y2 = y(y + 3) + -12 (-4 * 3 + y * 3) + y2 = y(y + 3) + -12 (-12 + 3y) + y2 = y(y + 3) + -12 Reorder the terms: -12 + 3y + y2 = y(3 + y) + -12 -12 + 3y + y2 = (3 * y + y * y) + -12 -12 + 3y + y2 = (3y + y2) + -12 Reorder the terms: -12 + 3y + y2 = -12 + 3y + y2 Add '12' to each side of the equation. -12 + 3y + 12 + y2 = -12 + 3y + 12 + y2 Reorder the terms: -12 + 12 + 3y + y2 = -12 + 3y + 12 + y2 Combine like terms: -12 + 12 = 0 0 + 3y + y2 = -12 + 3y + 12 + y2 3y + y2 = -12 + 3y + 12 + y2 Reorder the terms: 3y + y2 = -12 + 12 + 3y + y2 Combine like terms: -12 + 12 = 0 3y + y2 = 0 + 3y + y2 3y + y2 = 3y + y2 Add '-3y' to each side of the equation. 3y + -3y + y2 = 3y + -3y + y2 Combine like terms: 3y + -3y = 0 0 + y2 = 3y + -3y + y2 y2 = 3y + -3y + y2 Combine like terms: 3y + -3y = 0 y2 = 0 + y2 y2 = y2 Add '-1y2' to each side of the equation. y2 + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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