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Simplifying 2(1 + -1y) + 5 = 3(2y + -1) (1 * 2 + -1y * 2) + 5 = 3(2y + -1) (2 + -2y) + 5 = 3(2y + -1) Reorder the terms: 2 + 5 + -2y = 3(2y + -1) Combine like terms: 2 + 5 = 7 7 + -2y = 3(2y + -1) Reorder the terms: 7 + -2y = 3(-1 + 2y) 7 + -2y = (-1 * 3 + 2y * 3) 7 + -2y = (-3 + 6y) Solving 7 + -2y = -3 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 7 + -2y + -6y = -3 + 6y + -6y Combine like terms: -2y + -6y = -8y 7 + -8y = -3 + 6y + -6y Combine like terms: 6y + -6y = 0 7 + -8y = -3 + 0 7 + -8y = -3 Add '-7' to each side of the equation. 7 + -7 + -8y = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -8y = -3 + -7 -8y = -3 + -7 Combine like terms: -3 + -7 = -10 -8y = -10 Divide each side by '-8'. y = 1.25 Simplifying y = 1.25
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