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Simplifying 3(7y + -2) + -2(5y + -2) = 15 Reorder the terms: 3(-2 + 7y) + -2(5y + -2) = 15 (-2 * 3 + 7y * 3) + -2(5y + -2) = 15 (-6 + 21y) + -2(5y + -2) = 15 Reorder the terms: -6 + 21y + -2(-2 + 5y) = 15 -6 + 21y + (-2 * -2 + 5y * -2) = 15 -6 + 21y + (4 + -10y) = 15 Reorder the terms: -6 + 4 + 21y + -10y = 15 Combine like terms: -6 + 4 = -2 -2 + 21y + -10y = 15 Combine like terms: 21y + -10y = 11y -2 + 11y = 15 Solving -2 + 11y = 15 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 11y = 15 + 2 Combine like terms: -2 + 2 = 0 0 + 11y = 15 + 2 11y = 15 + 2 Combine like terms: 15 + 2 = 17 11y = 17 Divide each side by '11'. y = 1.545454545 Simplifying y = 1.545454545
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