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Simplifying 2y + 1 = 5(0.2y + 1) + -1(4 + -1y) Reorder the terms: 1 + 2y = 5(0.2y + 1) + -1(4 + -1y) Reorder the terms: 1 + 2y = 5(1 + 0.2y) + -1(4 + -1y) 1 + 2y = (1 * 5 + 0.2y * 5) + -1(4 + -1y) 1 + 2y = (5 + 1y) + -1(4 + -1y) 1 + 2y = 5 + 1y + (4 * -1 + -1y * -1) 1 + 2y = 5 + 1y + (-4 + 1y) Reorder the terms: 1 + 2y = 5 + -4 + 1y + 1y Combine like terms: 5 + -4 = 1 1 + 2y = 1 + 1y + 1y Combine like terms: 1y + 1y = 2y 1 + 2y = 1 + 2y Add '-1' to each side of the equation. 1 + -1 + 2y = 1 + -1 + 2y Combine like terms: 1 + -1 = 0 0 + 2y = 1 + -1 + 2y 2y = 1 + -1 + 2y Combine like terms: 1 + -1 = 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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