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Simplifying 2(y + -8) + 7 = 5(y + 2) + -3y + -19 Reorder the terms: 2(-8 + y) + 7 = 5(y + 2) + -3y + -19 (-8 * 2 + y * 2) + 7 = 5(y + 2) + -3y + -19 (-16 + 2y) + 7 = 5(y + 2) + -3y + -19 Reorder the terms: -16 + 7 + 2y = 5(y + 2) + -3y + -19 Combine like terms: -16 + 7 = -9 -9 + 2y = 5(y + 2) + -3y + -19 Reorder the terms: -9 + 2y = 5(2 + y) + -3y + -19 -9 + 2y = (2 * 5 + y * 5) + -3y + -19 -9 + 2y = (10 + 5y) + -3y + -19 Reorder the terms: -9 + 2y = 10 + -19 + 5y + -3y Combine like terms: 10 + -19 = -9 -9 + 2y = -9 + 5y + -3y Combine like terms: 5y + -3y = 2y -9 + 2y = -9 + 2y Add '9' to each side of the equation. -9 + 9 + 2y = -9 + 9 + 2y Combine like terms: -9 + 9 = 0 0 + 2y = -9 + 9 + 2y 2y = -9 + 9 + 2y Combine like terms: -9 + 9 = 0 2y = 0 + 2y 2y = 2y Add '-2y' to each side of the equation. 2y + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 0 = 2y + -2y Combine like terms: 2y + -2y = 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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