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Simplifying 3(y + -9) + -3 = -3(-3y + 4) + -2y Reorder the terms: 3(-9 + y) + -3 = -3(-3y + 4) + -2y (-9 * 3 + y * 3) + -3 = -3(-3y + 4) + -2y (-27 + 3y) + -3 = -3(-3y + 4) + -2y Reorder the terms: -27 + -3 + 3y = -3(-3y + 4) + -2y Combine like terms: -27 + -3 = -30 -30 + 3y = -3(-3y + 4) + -2y Reorder the terms: -30 + 3y = -3(4 + -3y) + -2y -30 + 3y = (4 * -3 + -3y * -3) + -2y -30 + 3y = (-12 + 9y) + -2y Combine like terms: 9y + -2y = 7y -30 + 3y = -12 + 7y Solving -30 + 3y = -12 + 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. -30 + 3y + -7y = -12 + 7y + -7y Combine like terms: 3y + -7y = -4y -30 + -4y = -12 + 7y + -7y Combine like terms: 7y + -7y = 0 -30 + -4y = -12 + 0 -30 + -4y = -12 Add '30' to each side of the equation. -30 + 30 + -4y = -12 + 30 Combine like terms: -30 + 30 = 0 0 + -4y = -12 + 30 -4y = -12 + 30 Combine like terms: -12 + 30 = 18 -4y = 18 Divide each side by '-4'. y = -4.5 Simplifying y = -4.5
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