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Simplifying 7y + 4 = -9(y + -4) Reorder the terms: 4 + 7y = -9(y + -4) Reorder the terms: 4 + 7y = -9(-4 + y) 4 + 7y = (-4 * -9 + y * -9) 4 + 7y = (36 + -9y) Solving 4 + 7y = 36 + -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. 4 + 7y + 9y = 36 + -9y + 9y Combine like terms: 7y + 9y = 16y 4 + 16y = 36 + -9y + 9y Combine like terms: -9y + 9y = 0 4 + 16y = 36 + 0 4 + 16y = 36 Add '-4' to each side of the equation. 4 + -4 + 16y = 36 + -4 Combine like terms: 4 + -4 = 0 0 + 16y = 36 + -4 16y = 36 + -4 Combine like terms: 36 + -4 = 32 16y = 32 Divide each side by '16'. y = 2 Simplifying y = 2
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