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Simplifying 3(y + -6) + 15 = -3(y + -9) + 6 Reorder the terms: 3(-6 + y) + 15 = -3(y + -9) + 6 (-6 * 3 + y * 3) + 15 = -3(y + -9) + 6 (-18 + 3y) + 15 = -3(y + -9) + 6 Reorder the terms: -18 + 15 + 3y = -3(y + -9) + 6 Combine like terms: -18 + 15 = -3 -3 + 3y = -3(y + -9) + 6 Reorder the terms: -3 + 3y = -3(-9 + y) + 6 -3 + 3y = (-9 * -3 + y * -3) + 6 -3 + 3y = (27 + -3y) + 6 Reorder the terms: -3 + 3y = 27 + 6 + -3y Combine like terms: 27 + 6 = 33 -3 + 3y = 33 + -3y Solving -3 + 3y = 33 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -3 + 3y + 3y = 33 + -3y + 3y Combine like terms: 3y + 3y = 6y -3 + 6y = 33 + -3y + 3y Combine like terms: -3y + 3y = 0 -3 + 6y = 33 + 0 -3 + 6y = 33 Add '3' to each side of the equation. -3 + 3 + 6y = 33 + 3 Combine like terms: -3 + 3 = 0 0 + 6y = 33 + 3 6y = 33 + 3 Combine like terms: 33 + 3 = 36 6y = 36 Divide each side by '6'. y = 6 Simplifying y = 6
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