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Simplifying -60 + 3y + 2 = 3(4y + -2) + -7 Reorder the terms: -60 + 2 + 3y = 3(4y + -2) + -7 Combine like terms: -60 + 2 = -58 -58 + 3y = 3(4y + -2) + -7 Reorder the terms: -58 + 3y = 3(-2 + 4y) + -7 -58 + 3y = (-2 * 3 + 4y * 3) + -7 -58 + 3y = (-6 + 12y) + -7 Reorder the terms: -58 + 3y = -6 + -7 + 12y Combine like terms: -6 + -7 = -13 -58 + 3y = -13 + 12y Solving -58 + 3y = -13 + 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. -58 + 3y + -12y = -13 + 12y + -12y Combine like terms: 3y + -12y = -9y -58 + -9y = -13 + 12y + -12y Combine like terms: 12y + -12y = 0 -58 + -9y = -13 + 0 -58 + -9y = -13 Add '58' to each side of the equation. -58 + 58 + -9y = -13 + 58 Combine like terms: -58 + 58 = 0 0 + -9y = -13 + 58 -9y = -13 + 58 Combine like terms: -13 + 58 = 45 -9y = 45 Divide each side by '-9'. y = -5 Simplifying y = -5
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