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Simplifying -7.14 + -11.1y = 7(-0.1y + -12.57) + -15.9y Reorder the terms: -7.14 + -11.1y = 7(-12.57 + -0.1y) + -15.9y -7.14 + -11.1y = (-12.57 * 7 + -0.1y * 7) + -15.9y -7.14 + -11.1y = (-87.99 + -0.7y) + -15.9y Combine like terms: -0.7y + -15.9y = -16.6y -7.14 + -11.1y = -87.99 + -16.6y Solving -7.14 + -11.1y = -87.99 + -16.6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16.6y' to each side of the equation. -7.14 + -11.1y + 16.6y = -87.99 + -16.6y + 16.6y Combine like terms: -11.1y + 16.6y = 5.5y -7.14 + 5.5y = -87.99 + -16.6y + 16.6y Combine like terms: -16.6y + 16.6y = 0.0 -7.14 + 5.5y = -87.99 + 0.0 -7.14 + 5.5y = -87.99 Add '7.14' to each side of the equation. -7.14 + 7.14 + 5.5y = -87.99 + 7.14 Combine like terms: -7.14 + 7.14 = 0.00 0.00 + 5.5y = -87.99 + 7.14 5.5y = -87.99 + 7.14 Combine like terms: -87.99 + 7.14 = -80.85 5.5y = -80.85 Divide each side by '5.5'. y = -14.7 Simplifying y = -14.7
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