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Simplifying 10 + -0.3(y + -7) = 0.1(8y + -7) Reorder the terms: 10 + -0.3(-7 + y) = 0.1(8y + -7) 10 + (-7 * -0.3 + y * -0.3) = 0.1(8y + -7) 10 + (2.1 + -0.3y) = 0.1(8y + -7) Combine like terms: 10 + 2.1 = 12.1 12.1 + -0.3y = 0.1(8y + -7) Reorder the terms: 12.1 + -0.3y = 0.1(-7 + 8y) 12.1 + -0.3y = (-7 * 0.1 + 8y * 0.1) 12.1 + -0.3y = (-0.7 + 0.8y) Solving 12.1 + -0.3y = -0.7 + 0.8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.8y' to each side of the equation. 12.1 + -0.3y + -0.8y = -0.7 + 0.8y + -0.8y Combine like terms: -0.3y + -0.8y = -1.1y 12.1 + -1.1y = -0.7 + 0.8y + -0.8y Combine like terms: 0.8y + -0.8y = 0.0 12.1 + -1.1y = -0.7 + 0.0 12.1 + -1.1y = -0.7 Add '-12.1' to each side of the equation. 12.1 + -12.1 + -1.1y = -0.7 + -12.1 Combine like terms: 12.1 + -12.1 = 0.0 0.0 + -1.1y = -0.7 + -12.1 -1.1y = -0.7 + -12.1 Combine like terms: -0.7 + -12.1 = -12.8 -1.1y = -12.8 Divide each side by '-1.1'. y = 11.63636364 Simplifying y = 11.63636364
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