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Simplifying -40 + 9y + 5 = 4(3y + -2) + -3 Reorder the terms: -40 + 5 + 9y = 4(3y + -2) + -3 Combine like terms: -40 + 5 = -35 -35 + 9y = 4(3y + -2) + -3 Reorder the terms: -35 + 9y = 4(-2 + 3y) + -3 -35 + 9y = (-2 * 4 + 3y * 4) + -3 -35 + 9y = (-8 + 12y) + -3 Reorder the terms: -35 + 9y = -8 + -3 + 12y Combine like terms: -8 + -3 = -11 -35 + 9y = -11 + 12y Solving -35 + 9y = -11 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -35 + 9y + -12y = -11 + 12y + -12y Combine like terms: 9y + -12y = -3y -35 + -3y = -11 + 12y + -12y Combine like terms: 12y + -12y = 0 -35 + -3y = -11 + 0 -35 + -3y = -11 Add '35' to each side of the equation. -35 + 35 + -3y = -11 + 35 Combine like terms: -35 + 35 = 0 0 + -3y = -11 + 35 -3y = -11 + 35 Combine like terms: -11 + 35 = 24 -3y = 24 Divide each side by '-3'. y = -8 Simplifying y = -8
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