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Simplifying 0.6(y + 0.1) = -0.6(y + -0.16) Reorder the terms: 0.6(0.1 + y) = -0.6(y + -0.16) (0.1 * 0.6 + y * 0.6) = -0.6(y + -0.16) (0.06 + 0.6y) = -0.6(y + -0.16) Reorder the terms: 0.06 + 0.6y = -0.6(-0.16 + y) 0.06 + 0.6y = (-0.16 * -0.6 + y * -0.6) 0.06 + 0.6y = (0.096 + -0.6y) Solving 0.06 + 0.6y = 0.096 + -0.6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.6y' to each side of the equation. 0.06 + 0.6y + 0.6y = 0.096 + -0.6y + 0.6y Combine like terms: 0.6y + 0.6y = 1.2y 0.06 + 1.2y = 0.096 + -0.6y + 0.6y Combine like terms: -0.6y + 0.6y = 0.0 0.06 + 1.2y = 0.096 + 0.0 0.06 + 1.2y = 0.096 Add '-0.06' to each side of the equation. 0.06 + -0.06 + 1.2y = 0.096 + -0.06 Combine like terms: 0.06 + -0.06 = 0.00 0.00 + 1.2y = 0.096 + -0.06 1.2y = 0.096 + -0.06 Combine like terms: 0.096 + -0.06 = 0.036 1.2y = 0.036 Divide each side by '1.2'. y = 0.03 Simplifying y = 0.03
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