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Simplifying 4y + 5 = -3(2y + -5) Reorder the terms: 5 + 4y = -3(2y + -5) Reorder the terms: 5 + 4y = -3(-5 + 2y) 5 + 4y = (-5 * -3 + 2y * -3) 5 + 4y = (15 + -6y) Solving 5 + 4y = 15 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 5 + 4y + 6y = 15 + -6y + 6y Combine like terms: 4y + 6y = 10y 5 + 10y = 15 + -6y + 6y Combine like terms: -6y + 6y = 0 5 + 10y = 15 + 0 5 + 10y = 15 Add '-5' to each side of the equation. 5 + -5 + 10y = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 10y = 15 + -5 10y = 15 + -5 Combine like terms: 15 + -5 = 10 10y = 10 Divide each side by '10'. y = 1 Simplifying y = 1
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