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Simplifying 5y + -1(y + -7) = 2y + 3 Reorder the terms: 5y + -1(-7 + y) = 2y + 3 5y + (-7 * -1 + y * -1) = 2y + 3 5y + (7 + -1y) = 2y + 3 Reorder the terms: 7 + 5y + -1y = 2y + 3 Combine like terms: 5y + -1y = 4y 7 + 4y = 2y + 3 Reorder the terms: 7 + 4y = 3 + 2y Solving 7 + 4y = 3 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 7 + 4y + -2y = 3 + 2y + -2y Combine like terms: 4y + -2y = 2y 7 + 2y = 3 + 2y + -2y Combine like terms: 2y + -2y = 0 7 + 2y = 3 + 0 7 + 2y = 3 Add '-7' to each side of the equation. 7 + -7 + 2y = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 2y = 3 + -7 2y = 3 + -7 Combine like terms: 3 + -7 = -4 2y = -4 Divide each side by '2'. y = -2 Simplifying y = -2
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