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Simplifying 4(y + -4) + 3(y + 7) = -30 Reorder the terms: 4(-4 + y) + 3(y + 7) = -30 (-4 * 4 + y * 4) + 3(y + 7) = -30 (-16 + 4y) + 3(y + 7) = -30 Reorder the terms: -16 + 4y + 3(7 + y) = -30 -16 + 4y + (7 * 3 + y * 3) = -30 -16 + 4y + (21 + 3y) = -30 Reorder the terms: -16 + 21 + 4y + 3y = -30 Combine like terms: -16 + 21 = 5 5 + 4y + 3y = -30 Combine like terms: 4y + 3y = 7y 5 + 7y = -30 Solving 5 + 7y = -30 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7y = -30 + -5 Combine like terms: 5 + -5 = 0 0 + 7y = -30 + -5 7y = -30 + -5 Combine like terms: -30 + -5 = -35 7y = -35 Divide each side by '7'. y = -5 Simplifying y = -5
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