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Simplifying 4(y + -4) + 3(y + 3) = 7 Reorder the terms: 4(-4 + y) + 3(y + 3) = 7 (-4 * 4 + y * 4) + 3(y + 3) = 7 (-16 + 4y) + 3(y + 3) = 7 Reorder the terms: -16 + 4y + 3(3 + y) = 7 -16 + 4y + (3 * 3 + y * 3) = 7 -16 + 4y + (9 + 3y) = 7 Reorder the terms: -16 + 9 + 4y + 3y = 7 Combine like terms: -16 + 9 = -7 -7 + 4y + 3y = 7 Combine like terms: 4y + 3y = 7y -7 + 7y = 7 Solving -7 + 7y = 7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 7y = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 7y = 7 + 7 7y = 7 + 7 Combine like terms: 7 + 7 = 14 7y = 14 Divide each side by '7'. y = 2 Simplifying y = 2
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