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Simplifying (3y + 7) * 7 + -1(9 + y) * 4 + -5y = -7 Reorder the terms: (7 + 3y) * 7 + -1(9 + y) * 4 + -5y = -7 Reorder the terms for easier multiplication: 7(7 + 3y) + -1(9 + y) * 4 + -5y = -7 (7 * 7 + 3y * 7) + -1(9 + y) * 4 + -5y = -7 (49 + 21y) + -1(9 + y) * 4 + -5y = -7 Reorder the terms for easier multiplication: 49 + 21y + -1 * 4(9 + y) + -5y = -7 Multiply -1 * 4 49 + 21y + -4(9 + y) + -5y = -7 49 + 21y + (9 * -4 + y * -4) + -5y = -7 49 + 21y + (-36 + -4y) + -5y = -7 Reorder the terms: 49 + -36 + 21y + -4y + -5y = -7 Combine like terms: 49 + -36 = 13 13 + 21y + -4y + -5y = -7 Combine like terms: 21y + -4y = 17y 13 + 17y + -5y = -7 Combine like terms: 17y + -5y = 12y 13 + 12y = -7 Solving 13 + 12y = -7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 12y = -7 + -13 Combine like terms: 13 + -13 = 0 0 + 12y = -7 + -13 12y = -7 + -13 Combine like terms: -7 + -13 = -20 12y = -20 Divide each side by '12'. y = -1.666666667 Simplifying y = -1.666666667
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