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Simplifying -86 + 3y + 3 = 4(3y + -4) + -4 Reorder the terms: -86 + 3 + 3y = 4(3y + -4) + -4 Combine like terms: -86 + 3 = -83 -83 + 3y = 4(3y + -4) + -4 Reorder the terms: -83 + 3y = 4(-4 + 3y) + -4 -83 + 3y = (-4 * 4 + 3y * 4) + -4 -83 + 3y = (-16 + 12y) + -4 Reorder the terms: -83 + 3y = -16 + -4 + 12y Combine like terms: -16 + -4 = -20 -83 + 3y = -20 + 12y Solving -83 + 3y = -20 + 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. -83 + 3y + -12y = -20 + 12y + -12y Combine like terms: 3y + -12y = -9y -83 + -9y = -20 + 12y + -12y Combine like terms: 12y + -12y = 0 -83 + -9y = -20 + 0 -83 + -9y = -20 Add '83' to each side of the equation. -83 + 83 + -9y = -20 + 83 Combine like terms: -83 + 83 = 0 0 + -9y = -20 + 83 -9y = -20 + 83 Combine like terms: -20 + 83 = 63 -9y = 63 Divide each side by '-9'. y = -7 Simplifying y = -7
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