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Simplifying 0.16(y + -6) + 0.14y = 0.04y + -0.7 Reorder the terms: 0.16(-6 + y) + 0.14y = 0.04y + -0.7 (-6 * 0.16 + y * 0.16) + 0.14y = 0.04y + -0.7 (-0.96 + 0.16y) + 0.14y = 0.04y + -0.7 Combine like terms: 0.16y + 0.14y = 0.3y -0.96 + 0.3y = 0.04y + -0.7 Reorder the terms: -0.96 + 0.3y = -0.7 + 0.04y Solving -0.96 + 0.3y = -0.7 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -0.96 + 0.3y + -0.04y = -0.7 + 0.04y + -0.04y Combine like terms: 0.3y + -0.04y = 0.26y -0.96 + 0.26y = -0.7 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.96 + 0.26y = -0.7 + 0.00 -0.96 + 0.26y = -0.7 Add '0.96' to each side of the equation. -0.96 + 0.96 + 0.26y = -0.7 + 0.96 Combine like terms: -0.96 + 0.96 = 0.00 0.00 + 0.26y = -0.7 + 0.96 0.26y = -0.7 + 0.96 Combine like terms: -0.7 + 0.96 = 0.26 0.26y = 0.26 Divide each side by '0.26'. y = 1 Simplifying y = 1
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