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Simplifying y + 1.5y + 1.25 = -0.71(y + -0.75) Reorder the terms: 1.25 + y + 1.5y = -0.71(y + -0.75) Combine like terms: y + 1.5y = 2.5y 1.25 + 2.5y = -0.71(y + -0.75) Reorder the terms: 1.25 + 2.5y = -0.71(-0.75 + y) 1.25 + 2.5y = (-0.75 * -0.71 + y * -0.71) 1.25 + 2.5y = (0.5325 + -0.71y) Solving 1.25 + 2.5y = 0.5325 + -0.71y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.71y' to each side of the equation. 1.25 + 2.5y + 0.71y = 0.5325 + -0.71y + 0.71y Combine like terms: 2.5y + 0.71y = 3.21y 1.25 + 3.21y = 0.5325 + -0.71y + 0.71y Combine like terms: -0.71y + 0.71y = 0.00 1.25 + 3.21y = 0.5325 + 0.00 1.25 + 3.21y = 0.5325 Add '-1.25' to each side of the equation. 1.25 + -1.25 + 3.21y = 0.5325 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 3.21y = 0.5325 + -1.25 3.21y = 0.5325 + -1.25 Combine like terms: 0.5325 + -1.25 = -0.7175 3.21y = -0.7175 Divide each side by '3.21'. y = -0.2235202492 Simplifying y = -0.2235202492
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