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Simplifying 3 + 2(5y + -7) = 8y + -15 Reorder the terms: 3 + 2(-7 + 5y) = 8y + -15 3 + (-7 * 2 + 5y * 2) = 8y + -15 3 + (-14 + 10y) = 8y + -15 Combine like terms: 3 + -14 = -11 -11 + 10y = 8y + -15 Reorder the terms: -11 + 10y = -15 + 8y Solving -11 + 10y = -15 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -11 + 10y + -8y = -15 + 8y + -8y Combine like terms: 10y + -8y = 2y -11 + 2y = -15 + 8y + -8y Combine like terms: 8y + -8y = 0 -11 + 2y = -15 + 0 -11 + 2y = -15 Add '11' to each side of the equation. -11 + 11 + 2y = -15 + 11 Combine like terms: -11 + 11 = 0 0 + 2y = -15 + 11 2y = -15 + 11 Combine like terms: -15 + 11 = -4 2y = -4 Divide each side by '2'. y = -2 Simplifying y = -2
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