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Simplifying 1 = -4y + 7(y + -2) Reorder the terms: 1 = -4y + 7(-2 + y) 1 = -4y + (-2 * 7 + y * 7) 1 = -4y + (-14 + 7y) Reorder the terms: 1 = -14 + -4y + 7y Combine like terms: -4y + 7y = 3y 1 = -14 + 3y Solving 1 = -14 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 1 + -3y = -14 + 3y + -3y Combine like terms: 3y + -3y = 0 1 + -3y = -14 + 0 1 + -3y = -14 Add '-1' to each side of the equation. 1 + -1 + -3y = -14 + -1 Combine like terms: 1 + -1 = 0 0 + -3y = -14 + -1 -3y = -14 + -1 Combine like terms: -14 + -1 = -15 -3y = -15 Divide each side by '-3'. y = 5 Simplifying y = 5
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