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Simplifying -73 + 12y + 6 = 5(4y + -5) + -2 Reorder the terms: -73 + 6 + 12y = 5(4y + -5) + -2 Combine like terms: -73 + 6 = -67 -67 + 12y = 5(4y + -5) + -2 Reorder the terms: -67 + 12y = 5(-5 + 4y) + -2 -67 + 12y = (-5 * 5 + 4y * 5) + -2 -67 + 12y = (-25 + 20y) + -2 Reorder the terms: -67 + 12y = -25 + -2 + 20y Combine like terms: -25 + -2 = -27 -67 + 12y = -27 + 20y Solving -67 + 12y = -27 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -67 + 12y + -20y = -27 + 20y + -20y Combine like terms: 12y + -20y = -8y -67 + -8y = -27 + 20y + -20y Combine like terms: 20y + -20y = 0 -67 + -8y = -27 + 0 -67 + -8y = -27 Add '67' to each side of the equation. -67 + 67 + -8y = -27 + 67 Combine like terms: -67 + 67 = 0 0 + -8y = -27 + 67 -8y = -27 + 67 Combine like terms: -27 + 67 = 40 -8y = 40 Divide each side by '-8'. y = -5 Simplifying y = -5
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