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Simplifying 2y + -5(2y + -3) = 2y + 5 Reorder the terms: 2y + -5(-3 + 2y) = 2y + 5 2y + (-3 * -5 + 2y * -5) = 2y + 5 2y + (15 + -10y) = 2y + 5 Reorder the terms: 15 + 2y + -10y = 2y + 5 Combine like terms: 2y + -10y = -8y 15 + -8y = 2y + 5 Reorder the terms: 15 + -8y = 5 + 2y Solving 15 + -8y = 5 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 15 + -8y + -2y = 5 + 2y + -2y Combine like terms: -8y + -2y = -10y 15 + -10y = 5 + 2y + -2y Combine like terms: 2y + -2y = 0 15 + -10y = 5 + 0 15 + -10y = 5 Add '-15' to each side of the equation. 15 + -15 + -10y = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -10y = 5 + -15 -10y = 5 + -15 Combine like terms: 5 + -15 = -10 -10y = -10 Divide each side by '-10'. y = 1 Simplifying y = 1
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