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Simplifying -58 + 7y + 6 = 3(4y + -5) + -2 Reorder the terms: -58 + 6 + 7y = 3(4y + -5) + -2 Combine like terms: -58 + 6 = -52 -52 + 7y = 3(4y + -5) + -2 Reorder the terms: -52 + 7y = 3(-5 + 4y) + -2 -52 + 7y = (-5 * 3 + 4y * 3) + -2 -52 + 7y = (-15 + 12y) + -2 Reorder the terms: -52 + 7y = -15 + -2 + 12y Combine like terms: -15 + -2 = -17 -52 + 7y = -17 + 12y Solving -52 + 7y = -17 + 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. -52 + 7y + -12y = -17 + 12y + -12y Combine like terms: 7y + -12y = -5y -52 + -5y = -17 + 12y + -12y Combine like terms: 12y + -12y = 0 -52 + -5y = -17 + 0 -52 + -5y = -17 Add '52' to each side of the equation. -52 + 52 + -5y = -17 + 52 Combine like terms: -52 + 52 = 0 0 + -5y = -17 + 52 -5y = -17 + 52 Combine like terms: -17 + 52 = 35 -5y = 35 Divide each side by '-5'. y = -7 Simplifying y = -7
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