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Simplifying 3(y + -6) + -6 = -2(-8y + 9) + -9y Reorder the terms: 3(-6 + y) + -6 = -2(-8y + 9) + -9y (-6 * 3 + y * 3) + -6 = -2(-8y + 9) + -9y (-18 + 3y) + -6 = -2(-8y + 9) + -9y Reorder the terms: -18 + -6 + 3y = -2(-8y + 9) + -9y Combine like terms: -18 + -6 = -24 -24 + 3y = -2(-8y + 9) + -9y Reorder the terms: -24 + 3y = -2(9 + -8y) + -9y -24 + 3y = (9 * -2 + -8y * -2) + -9y -24 + 3y = (-18 + 16y) + -9y Combine like terms: 16y + -9y = 7y -24 + 3y = -18 + 7y Solving -24 + 3y = -18 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -24 + 3y + -7y = -18 + 7y + -7y Combine like terms: 3y + -7y = -4y -24 + -4y = -18 + 7y + -7y Combine like terms: 7y + -7y = 0 -24 + -4y = -18 + 0 -24 + -4y = -18 Add '24' to each side of the equation. -24 + 24 + -4y = -18 + 24 Combine like terms: -24 + 24 = 0 0 + -4y = -18 + 24 -4y = -18 + 24 Combine like terms: -18 + 24 = 6 -4y = 6 Divide each side by '-4'. y = -1.5 Simplifying y = -1.5
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