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Simplifying -40 + 6y + 5 = 3(3y + -4) + -2 Reorder the terms: -40 + 5 + 6y = 3(3y + -4) + -2 Combine like terms: -40 + 5 = -35 -35 + 6y = 3(3y + -4) + -2 Reorder the terms: -35 + 6y = 3(-4 + 3y) + -2 -35 + 6y = (-4 * 3 + 3y * 3) + -2 -35 + 6y = (-12 + 9y) + -2 Reorder the terms: -35 + 6y = -12 + -2 + 9y Combine like terms: -12 + -2 = -14 -35 + 6y = -14 + 9y Solving -35 + 6y = -14 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -35 + 6y + -9y = -14 + 9y + -9y Combine like terms: 6y + -9y = -3y -35 + -3y = -14 + 9y + -9y Combine like terms: 9y + -9y = 0 -35 + -3y = -14 + 0 -35 + -3y = -14 Add '35' to each side of the equation. -35 + 35 + -3y = -14 + 35 Combine like terms: -35 + 35 = 0 0 + -3y = -14 + 35 -3y = -14 + 35 Combine like terms: -14 + 35 = 21 -3y = 21 Divide each side by '-3'. y = -7 Simplifying y = -7
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