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Simplifying -85 + 4y + 3 = 4(3y + -3) + -6 Reorder the terms: -85 + 3 + 4y = 4(3y + -3) + -6 Combine like terms: -85 + 3 = -82 -82 + 4y = 4(3y + -3) + -6 Reorder the terms: -82 + 4y = 4(-3 + 3y) + -6 -82 + 4y = (-3 * 4 + 3y * 4) + -6 -82 + 4y = (-12 + 12y) + -6 Reorder the terms: -82 + 4y = -12 + -6 + 12y Combine like terms: -12 + -6 = -18 -82 + 4y = -18 + 12y Solving -82 + 4y = -18 + 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. -82 + 4y + -12y = -18 + 12y + -12y Combine like terms: 4y + -12y = -8y -82 + -8y = -18 + 12y + -12y Combine like terms: 12y + -12y = 0 -82 + -8y = -18 + 0 -82 + -8y = -18 Add '82' to each side of the equation. -82 + 82 + -8y = -18 + 82 Combine like terms: -82 + 82 = 0 0 + -8y = -18 + 82 -8y = -18 + 82 Combine like terms: -18 + 82 = 64 -8y = 64 Divide each side by '-8'. y = -8 Simplifying y = -8
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