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Simplifying 2(3y + 4) + -10 = 3(2y + -3) + 7 Reorder the terms: 2(4 + 3y) + -10 = 3(2y + -3) + 7 (4 * 2 + 3y * 2) + -10 = 3(2y + -3) + 7 (8 + 6y) + -10 = 3(2y + -3) + 7 Reorder the terms: 8 + -10 + 6y = 3(2y + -3) + 7 Combine like terms: 8 + -10 = -2 -2 + 6y = 3(2y + -3) + 7 Reorder the terms: -2 + 6y = 3(-3 + 2y) + 7 -2 + 6y = (-3 * 3 + 2y * 3) + 7 -2 + 6y = (-9 + 6y) + 7 Reorder the terms: -2 + 6y = -9 + 7 + 6y Combine like terms: -9 + 7 = -2 -2 + 6y = -2 + 6y Add '2' to each side of the equation. -2 + 2 + 6y = -2 + 2 + 6y Combine like terms: -2 + 2 = 0 0 + 6y = -2 + 2 + 6y 6y = -2 + 2 + 6y Combine like terms: -2 + 2 = 0 6y = 0 + 6y 6y = 6y Add '-6y' to each side of the equation. 6y + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 0 = 6y + -6y Combine like terms: 6y + -6y = 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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