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