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Simplifying 0.07(3y + 5) = 0.2(y + -5) Reorder the terms: 0.07(5 + 3y) = 0.2(y + -5) (5 * 0.07 + 3y * 0.07) = 0.2(y + -5) (0.35 + 0.21y) = 0.2(y + -5) Reorder the terms: 0.35 + 0.21y = 0.2(-5 + y) 0.35 + 0.21y = (-5 * 0.2 + y * 0.2) 0.35 + 0.21y = (-1 + 0.2y) Solving 0.35 + 0.21y = -1 + 0.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.2y' to each side of the equation. 0.35 + 0.21y + -0.2y = -1 + 0.2y + -0.2y Combine like terms: 0.21y + -0.2y = 0.01y 0.35 + 0.01y = -1 + 0.2y + -0.2y Combine like terms: 0.2y + -0.2y = 0.0 0.35 + 0.01y = -1 + 0.0 0.35 + 0.01y = -1 Add '-0.35' to each side of the equation. 0.35 + -0.35 + 0.01y = -1 + -0.35 Combine like terms: 0.35 + -0.35 = 0.00 0.00 + 0.01y = -1 + -0.35 0.01y = -1 + -0.35 Combine like terms: -1 + -0.35 = -1.35 0.01y = -1.35 Divide each side by '0.01'. y = -135 Simplifying y = -135
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