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Simplifying 2(y + -7) + -3y = -1(y + -3) + -17 Reorder the terms: 2(-7 + y) + -3y = -1(y + -3) + -17 (-7 * 2 + y * 2) + -3y = -1(y + -3) + -17 (-14 + 2y) + -3y = -1(y + -3) + -17 Combine like terms: 2y + -3y = -1y -14 + -1y = -1(y + -3) + -17 Reorder the terms: -14 + -1y = -1(-3 + y) + -17 -14 + -1y = (-3 * -1 + y * -1) + -17 -14 + -1y = (3 + -1y) + -17 Reorder the terms: -14 + -1y = 3 + -17 + -1y Combine like terms: 3 + -17 = -14 -14 + -1y = -14 + -1y Add '14' to each side of the equation. -14 + 14 + -1y = -14 + 14 + -1y Combine like terms: -14 + 14 = 0 0 + -1y = -14 + 14 + -1y -1y = -14 + 14 + -1y Combine like terms: -14 + 14 = 0 -1y = 0 + -1y -1y = -1y Add 'y' to each side of the equation. -1y + y = -1y + y Combine like terms: -1y + y = 0 0 = -1y + y Combine like terms: -1y + y = 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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