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Simplifying 4y + 2(5y + -6) = -7y + 3 + 3(7y + -5) Reorder the terms: 4y + 2(-6 + 5y) = -7y + 3 + 3(7y + -5) 4y + (-6 * 2 + 5y * 2) = -7y + 3 + 3(7y + -5) 4y + (-12 + 10y) = -7y + 3 + 3(7y + -5) Reorder the terms: -12 + 4y + 10y = -7y + 3 + 3(7y + -5) Combine like terms: 4y + 10y = 14y -12 + 14y = -7y + 3 + 3(7y + -5) Reorder the terms: -12 + 14y = -7y + 3 + 3(-5 + 7y) -12 + 14y = -7y + 3 + (-5 * 3 + 7y * 3) -12 + 14y = -7y + 3 + (-15 + 21y) Reorder the terms: -12 + 14y = 3 + -15 + -7y + 21y Combine like terms: 3 + -15 = -12 -12 + 14y = -12 + -7y + 21y Combine like terms: -7y + 21y = 14y -12 + 14y = -12 + 14y Add '12' to each side of the equation. -12 + 12 + 14y = -12 + 12 + 14y Combine like terms: -12 + 12 = 0 0 + 14y = -12 + 12 + 14y 14y = -12 + 12 + 14y Combine like terms: -12 + 12 = 0 14y = 0 + 14y 14y = 14y Add '-14y' to each side of the equation. 14y + -14y = 14y + -14y Combine like terms: 14y + -14y = 0 0 = 14y + -14y Combine like terms: 14y + -14y = 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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