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Simplifying -4(y + 6) + -3(y + 6) = 0 Reorder the terms: -4(6 + y) + -3(y + 6) = 0 (6 * -4 + y * -4) + -3(y + 6) = 0 (-24 + -4y) + -3(y + 6) = 0 Reorder the terms: -24 + -4y + -3(6 + y) = 0 -24 + -4y + (6 * -3 + y * -3) = 0 -24 + -4y + (-18 + -3y) = 0 Reorder the terms: -24 + -18 + -4y + -3y = 0 Combine like terms: -24 + -18 = -42 -42 + -4y + -3y = 0 Combine like terms: -4y + -3y = -7y -42 + -7y = 0 Solving -42 + -7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -7y = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -7y = 0 + 42 -7y = 0 + 42 Combine like terms: 0 + 42 = 42 -7y = 42 Divide each side by '-7'. y = -6 Simplifying y = -6
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