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Simplifying -7 = -5y + 4(-1y + 9) + -7(77 + 3y) Reorder the terms: -7 = -5y + 4(9 + -1y) + -7(77 + 3y) -7 = -5y + (9 * 4 + -1y * 4) + -7(77 + 3y) -7 = -5y + (36 + -4y) + -7(77 + 3y) -7 = -5y + 36 + -4y + (77 * -7 + 3y * -7) -7 = -5y + 36 + -4y + (-539 + -21y) Reorder the terms: -7 = 36 + -539 + -5y + -4y + -21y Combine like terms: 36 + -539 = -503 -7 = -503 + -5y + -4y + -21y Combine like terms: -5y + -4y = -9y -7 = -503 + -9y + -21y Combine like terms: -9y + -21y = -30y -7 = -503 + -30y Solving -7 = -503 + -30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30y' to each side of the equation. -7 + 30y = -503 + -30y + 30y Combine like terms: -30y + 30y = 0 -7 + 30y = -503 + 0 -7 + 30y = -503 Add '7' to each side of the equation. -7 + 7 + 30y = -503 + 7 Combine like terms: -7 + 7 = 0 0 + 30y = -503 + 7 30y = -503 + 7 Combine like terms: -503 + 7 = -496 30y = -496 Divide each side by '30'. y = -16.53333333 Simplifying y = -16.53333333
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