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Simplifying 9y + -7 = -4(y + -8) Reorder the terms: -7 + 9y = -4(y + -8) Reorder the terms: -7 + 9y = -4(-8 + y) -7 + 9y = (-8 * -4 + y * -4) -7 + 9y = (32 + -4y) Solving -7 + 9y = 32 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -7 + 9y + 4y = 32 + -4y + 4y Combine like terms: 9y + 4y = 13y -7 + 13y = 32 + -4y + 4y Combine like terms: -4y + 4y = 0 -7 + 13y = 32 + 0 -7 + 13y = 32 Add '7' to each side of the equation. -7 + 7 + 13y = 32 + 7 Combine like terms: -7 + 7 = 0 0 + 13y = 32 + 7 13y = 32 + 7 Combine like terms: 32 + 7 = 39 13y = 39 Divide each side by '13'. y = 3 Simplifying y = 3
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