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Simplifying 6(y + 5) + 4 = 8y + -4 Reorder the terms: 6(5 + y) + 4 = 8y + -4 (5 * 6 + y * 6) + 4 = 8y + -4 (30 + 6y) + 4 = 8y + -4 Reorder the terms: 30 + 4 + 6y = 8y + -4 Combine like terms: 30 + 4 = 34 34 + 6y = 8y + -4 Reorder the terms: 34 + 6y = -4 + 8y Solving 34 + 6y = -4 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 34 + 6y + -8y = -4 + 8y + -8y Combine like terms: 6y + -8y = -2y 34 + -2y = -4 + 8y + -8y Combine like terms: 8y + -8y = 0 34 + -2y = -4 + 0 34 + -2y = -4 Add '-34' to each side of the equation. 34 + -34 + -2y = -4 + -34 Combine like terms: 34 + -34 = 0 0 + -2y = -4 + -34 -2y = -4 + -34 Combine like terms: -4 + -34 = -38 -2y = -38 Divide each side by '-2'. y = 19 Simplifying y = 19
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