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Simplifying 6(2y + 1) + -7 = 5(5y + -5) + 21 Reorder the terms: 6(1 + 2y) + -7 = 5(5y + -5) + 21 (1 * 6 + 2y * 6) + -7 = 5(5y + -5) + 21 (6 + 12y) + -7 = 5(5y + -5) + 21 Reorder the terms: 6 + -7 + 12y = 5(5y + -5) + 21 Combine like terms: 6 + -7 = -1 -1 + 12y = 5(5y + -5) + 21 Reorder the terms: -1 + 12y = 5(-5 + 5y) + 21 -1 + 12y = (-5 * 5 + 5y * 5) + 21 -1 + 12y = (-25 + 25y) + 21 Reorder the terms: -1 + 12y = -25 + 21 + 25y Combine like terms: -25 + 21 = -4 -1 + 12y = -4 + 25y Solving -1 + 12y = -4 + 25y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25y' to each side of the equation. -1 + 12y + -25y = -4 + 25y + -25y Combine like terms: 12y + -25y = -13y -1 + -13y = -4 + 25y + -25y Combine like terms: 25y + -25y = 0 -1 + -13y = -4 + 0 -1 + -13y = -4 Add '1' to each side of the equation. -1 + 1 + -13y = -4 + 1 Combine like terms: -1 + 1 = 0 0 + -13y = -4 + 1 -13y = -4 + 1 Combine like terms: -4 + 1 = -3 -13y = -3 Divide each side by '-13'. y = 0.2307692308 Simplifying y = 0.2307692308
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