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Simplifying 2(6y + 4) + -112 = 5(5y + 1) + -7 Reorder the terms: 2(4 + 6y) + -112 = 5(5y + 1) + -7 (4 * 2 + 6y * 2) + -112 = 5(5y + 1) + -7 (8 + 12y) + -112 = 5(5y + 1) + -7 Reorder the terms: 8 + -112 + 12y = 5(5y + 1) + -7 Combine like terms: 8 + -112 = -104 -104 + 12y = 5(5y + 1) + -7 Reorder the terms: -104 + 12y = 5(1 + 5y) + -7 -104 + 12y = (1 * 5 + 5y * 5) + -7 -104 + 12y = (5 + 25y) + -7 Reorder the terms: -104 + 12y = 5 + -7 + 25y Combine like terms: 5 + -7 = -2 -104 + 12y = -2 + 25y Solving -104 + 12y = -2 + 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. -104 + 12y + -25y = -2 + 25y + -25y Combine like terms: 12y + -25y = -13y -104 + -13y = -2 + 25y + -25y Combine like terms: 25y + -25y = 0 -104 + -13y = -2 + 0 -104 + -13y = -2 Add '104' to each side of the equation. -104 + 104 + -13y = -2 + 104 Combine like terms: -104 + 104 = 0 0 + -13y = -2 + 104 -13y = -2 + 104 Combine like terms: -2 + 104 = 102 -13y = 102 Divide each side by '-13'. y = -7.846153846 Simplifying y = -7.846153846
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