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Simplifying 0.16(y + -3) + 0.04 = 0.14y + -0.03(30) Reorder the terms: 0.16(-3 + y) + 0.04 = 0.14y + -0.03(30) (-3 * 0.16 + y * 0.16) + 0.04 = 0.14y + -0.03(30) (-0.48 + 0.16y) + 0.04 = 0.14y + -0.03(30) Reorder the terms: -0.48 + 0.04 + 0.16y = 0.14y + -0.03(30) Combine like terms: -0.48 + 0.04 = -0.44 -0.44 + 0.16y = 0.14y + -0.03(30) Multiply -0.03 * 30 -0.44 + 0.16y = 0.14y + -0.9 Reorder the terms: -0.44 + 0.16y = -0.9 + 0.14y Solving -0.44 + 0.16y = -0.9 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. -0.44 + 0.16y + -0.14y = -0.9 + 0.14y + -0.14y Combine like terms: 0.16y + -0.14y = 0.02y -0.44 + 0.02y = -0.9 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.44 + 0.02y = -0.9 + 0.00 -0.44 + 0.02y = -0.9 Add '0.44' to each side of the equation. -0.44 + 0.44 + 0.02y = -0.9 + 0.44 Combine like terms: -0.44 + 0.44 = 0.00 0.00 + 0.02y = -0.9 + 0.44 0.02y = -0.9 + 0.44 Combine like terms: -0.9 + 0.44 = -0.46 0.02y = -0.46 Divide each side by '0.02'. y = -23 Simplifying y = -23
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