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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 = 20 -10y = 20 Divide each side by '-10'. y = -2 Simplifying y = -2
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