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Simplifying 7 + -5[3 + -1(6y + -3)] = 30y + -23 Reorder the terms: 7 + -5[3 + -1(-3 + 6y)] = 30y + -23 7 + -5[3 + (-3 * -1 + 6y * -1)] = 30y + -23 7 + -5[3 + (3 + -6y)] = 30y + -23 Combine like terms: 3 + 3 = 6 7 + -5[6 + -6y] = 30y + -23 7 + [6 * -5 + -6y * -5] = 30y + -23 7 + [-30 + 30y] = 30y + -23 Combine like terms: 7 + -30 = -23 -23 + 30y = 30y + -23 Reorder the terms: -23 + 30y = -23 + 30y Add '23' to each side of the equation. -23 + 23 + 30y = -23 + 23 + 30y Combine like terms: -23 + 23 = 0 0 + 30y = -23 + 23 + 30y 30y = -23 + 23 + 30y Combine like terms: -23 + 23 = 0 30y = 0 + 30y 30y = 30y Add '-30y' to each side of the equation. 30y + -30y = 30y + -30y Combine like terms: 30y + -30y = 0 0 = 30y + -30y Combine like terms: 30y + -30y = 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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