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