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Simplifying 7y + 3 = 3(5y + -8) Reorder the terms: 3 + 7y = 3(5y + -8) Reorder the terms: 3 + 7y = 3(-8 + 5y) 3 + 7y = (-8 * 3 + 5y * 3) 3 + 7y = (-24 + 15y) Solving 3 + 7y = -24 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 3 + 7y + -15y = -24 + 15y + -15y Combine like terms: 7y + -15y = -8y 3 + -8y = -24 + 15y + -15y Combine like terms: 15y + -15y = 0 3 + -8y = -24 + 0 3 + -8y = -24 Add '-3' to each side of the equation. 3 + -3 + -8y = -24 + -3 Combine like terms: 3 + -3 = 0 0 + -8y = -24 + -3 -8y = -24 + -3 Combine like terms: -24 + -3 = -27 -8y = -27 Divide each side by '-8'. y = 3.375 Simplifying y = 3.375
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