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Simplifying 4(y + -1) + 3y = 9y + -1(5 + 2y) + 1 Reorder the terms: 4(-1 + y) + 3y = 9y + -1(5 + 2y) + 1 (-1 * 4 + y * 4) + 3y = 9y + -1(5 + 2y) + 1 (-4 + 4y) + 3y = 9y + -1(5 + 2y) + 1 Combine like terms: 4y + 3y = 7y -4 + 7y = 9y + -1(5 + 2y) + 1 -4 + 7y = 9y + (5 * -1 + 2y * -1) + 1 -4 + 7y = 9y + (-5 + -2y) + 1 Reorder the terms: -4 + 7y = -5 + 1 + 9y + -2y Combine like terms: -5 + 1 = -4 -4 + 7y = -4 + 9y + -2y Combine like terms: 9y + -2y = 7y -4 + 7y = -4 + 7y Add '4' to each side of the equation. -4 + 4 + 7y = -4 + 4 + 7y Combine like terms: -4 + 4 = 0 0 + 7y = -4 + 4 + 7y 7y = -4 + 4 + 7y Combine like terms: -4 + 4 = 0 7y = 0 + 7y 7y = 7y Add '-7y' to each side of the equation. 7y + -7y = 7y + -7y Combine like terms: 7y + -7y = 0 0 = 7y + -7y Combine like terms: 7y + -7y = 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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