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Simplifying 4(2y + 1.5) + -1y + 1 = 2(2y + 1.5) + -1 + 3y + 5 Reorder the terms: 4(1.5 + 2y) + -1y + 1 = 2(2y + 1.5) + -1 + 3y + 5 (1.5 * 4 + 2y * 4) + -1y + 1 = 2(2y + 1.5) + -1 + 3y + 5 (6 + 8y) + -1y + 1 = 2(2y + 1.5) + -1 + 3y + 5 Reorder the terms: 6 + 1 + 8y + -1y = 2(2y + 1.5) + -1 + 3y + 5 Combine like terms: 6 + 1 = 7 7 + 8y + -1y = 2(2y + 1.5) + -1 + 3y + 5 Combine like terms: 8y + -1y = 7y 7 + 7y = 2(2y + 1.5) + -1 + 3y + 5 Reorder the terms: 7 + 7y = 2(1.5 + 2y) + -1 + 3y + 5 7 + 7y = (1.5 * 2 + 2y * 2) + -1 + 3y + 5 7 + 7y = (3 + 4y) + -1 + 3y + 5 Reorder the terms: 7 + 7y = 3 + -1 + 5 + 4y + 3y Combine like terms: 3 + -1 = 2 7 + 7y = 2 + 5 + 4y + 3y Combine like terms: 2 + 5 = 7 7 + 7y = 7 + 4y + 3y Combine like terms: 4y + 3y = 7y 7 + 7y = 7 + 7y Add '-7' to each side of the equation. 7 + -7 + 7y = 7 + -7 + 7y Combine like terms: 7 + -7 = 0 0 + 7y = 7 + -7 + 7y 7y = 7 + -7 + 7y Combine like terms: 7 + -7 = 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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