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