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Simplifying 2(4y + -4) + -15 = 6(5y + -3) + -5 Reorder the terms: 2(-4 + 4y) + -15 = 6(5y + -3) + -5 (-4 * 2 + 4y * 2) + -15 = 6(5y + -3) + -5 (-8 + 8y) + -15 = 6(5y + -3) + -5 Reorder the terms: -8 + -15 + 8y = 6(5y + -3) + -5 Combine like terms: -8 + -15 = -23 -23 + 8y = 6(5y + -3) + -5 Reorder the terms: -23 + 8y = 6(-3 + 5y) + -5 -23 + 8y = (-3 * 6 + 5y * 6) + -5 -23 + 8y = (-18 + 30y) + -5 Reorder the terms: -23 + 8y = -18 + -5 + 30y Combine like terms: -18 + -5 = -23 -23 + 8y = -23 + 30y Add '23' to each side of the equation. -23 + 23 + 8y = -23 + 23 + 30y Combine like terms: -23 + 23 = 0 0 + 8y = -23 + 23 + 30y 8y = -23 + 23 + 30y Combine like terms: -23 + 23 = 0 8y = 0 + 30y 8y = 30y Solving 8y = 30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30y' to each side of the equation. 8y + -30y = 30y + -30y Combine like terms: 8y + -30y = -22y -22y = 30y + -30y Combine like terms: 30y + -30y = 0 -22y = 0 Divide each side by '-22'. y = 0 Simplifying y = 0
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