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Simplifying 5(6y + 5) + -3 = 6(2y + -2) + 23 Reorder the terms: 5(5 + 6y) + -3 = 6(2y + -2) + 23 (5 * 5 + 6y * 5) + -3 = 6(2y + -2) + 23 (25 + 30y) + -3 = 6(2y + -2) + 23 Reorder the terms: 25 + -3 + 30y = 6(2y + -2) + 23 Combine like terms: 25 + -3 = 22 22 + 30y = 6(2y + -2) + 23 Reorder the terms: 22 + 30y = 6(-2 + 2y) + 23 22 + 30y = (-2 * 6 + 2y * 6) + 23 22 + 30y = (-12 + 12y) + 23 Reorder the terms: 22 + 30y = -12 + 23 + 12y Combine like terms: -12 + 23 = 11 22 + 30y = 11 + 12y Solving 22 + 30y = 11 + 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. 22 + 30y + -12y = 11 + 12y + -12y Combine like terms: 30y + -12y = 18y 22 + 18y = 11 + 12y + -12y Combine like terms: 12y + -12y = 0 22 + 18y = 11 + 0 22 + 18y = 11 Add '-22' to each side of the equation. 22 + -22 + 18y = 11 + -22 Combine like terms: 22 + -22 = 0 0 + 18y = 11 + -22 18y = 11 + -22 Combine like terms: 11 + -22 = -11 18y = -11 Divide each side by '18'. y = -0.6111111111 Simplifying y = -0.6111111111
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