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Simplifying -7y + 5 = -1(9y + -3) Reorder the terms: 5 + -7y = -1(9y + -3) Reorder the terms: 5 + -7y = -1(-3 + 9y) 5 + -7y = (-3 * -1 + 9y * -1) 5 + -7y = (3 + -9y) Solving 5 + -7y = 3 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 5 + -7y + 9y = 3 + -9y + 9y Combine like terms: -7y + 9y = 2y 5 + 2y = 3 + -9y + 9y Combine like terms: -9y + 9y = 0 5 + 2y = 3 + 0 5 + 2y = 3 Add '-5' to each side of the equation. 5 + -5 + 2y = 3 + -5 Combine like terms: 5 + -5 = 0 0 + 2y = 3 + -5 2y = 3 + -5 Combine like terms: 3 + -5 = -2 2y = -2 Divide each side by '2'. y = -1 Simplifying y = -1
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