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Simplifying 30 = 6(y + -7) + 6y Reorder the terms: 30 = 6(-7 + y) + 6y 30 = (-7 * 6 + y * 6) + 6y 30 = (-42 + 6y) + 6y Combine like terms: 6y + 6y = 12y 30 = -42 + 12y Solving 30 = -42 + 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. 30 + -12y = -42 + 12y + -12y Combine like terms: 12y + -12y = 0 30 + -12y = -42 + 0 30 + -12y = -42 Add '-30' to each side of the equation. 30 + -30 + -12y = -42 + -30 Combine like terms: 30 + -30 = 0 0 + -12y = -42 + -30 -12y = -42 + -30 Combine like terms: -42 + -30 = -72 -12y = -72 Divide each side by '-12'. y = 6 Simplifying y = 6
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