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Simplifying 0.16(y + -7) + 0.14 = 0.02y + -0.07(30) Reorder the terms: 0.16(-7 + y) + 0.14 = 0.02y + -0.07(30) (-7 * 0.16 + y * 0.16) + 0.14 = 0.02y + -0.07(30) (-1.12 + 0.16y) + 0.14 = 0.02y + -0.07(30) Reorder the terms: -1.12 + 0.14 + 0.16y = 0.02y + -0.07(30) Combine like terms: -1.12 + 0.14 = -0.98 -0.98 + 0.16y = 0.02y + -0.07(30) Multiply -0.07 * 30 -0.98 + 0.16y = 0.02y + -2.1 Reorder the terms: -0.98 + 0.16y = -2.1 + 0.02y Solving -0.98 + 0.16y = -2.1 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -0.98 + 0.16y + -0.02y = -2.1 + 0.02y + -0.02y Combine like terms: 0.16y + -0.02y = 0.14y -0.98 + 0.14y = -2.1 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.98 + 0.14y = -2.1 + 0.00 -0.98 + 0.14y = -2.1 Add '0.98' to each side of the equation. -0.98 + 0.98 + 0.14y = -2.1 + 0.98 Combine like terms: -0.98 + 0.98 = 0.00 0.00 + 0.14y = -2.1 + 0.98 0.14y = -2.1 + 0.98 Combine like terms: -2.1 + 0.98 = -1.12 0.14y = -1.12 Divide each side by '0.14'. y = -8 Simplifying y = -8
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