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Simplifying 3(7 + -1y) + -29 = 21y + -4(2 + 6y) (7 * 3 + -1y * 3) + -29 = 21y + -4(2 + 6y) (21 + -3y) + -29 = 21y + -4(2 + 6y) Reorder the terms: 21 + -29 + -3y = 21y + -4(2 + 6y) Combine like terms: 21 + -29 = -8 -8 + -3y = 21y + -4(2 + 6y) -8 + -3y = 21y + (2 * -4 + 6y * -4) -8 + -3y = 21y + (-8 + -24y) Reorder the terms: -8 + -3y = -8 + 21y + -24y Combine like terms: 21y + -24y = -3y -8 + -3y = -8 + -3y Add '8' to each side of the equation. -8 + 8 + -3y = -8 + 8 + -3y Combine like terms: -8 + 8 = 0 0 + -3y = -8 + 8 + -3y -3y = -8 + 8 + -3y Combine like terms: -8 + 8 = 0 -3y = 0 + -3y -3y = -3y Add '3y' to each side of the equation. -3y + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 0 = -3y + 3y Combine like terms: -3y + 3y = 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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