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Simplifying 0.16(y + -7) + 0.14y = 0.10y + -0.05(10) Reorder the terms: 0.16(-7 + y) + 0.14y = 0.10y + -0.05(10) (-7 * 0.16 + y * 0.16) + 0.14y = 0.10y + -0.05(10) (-1.12 + 0.16y) + 0.14y = 0.10y + -0.05(10) Combine like terms: 0.16y + 0.14y = 0.3y -1.12 + 0.3y = 0.10y + -0.05(10) Multiply -0.05 * 10 -1.12 + 0.3y = 0.10y + -0.5 Reorder the terms: -1.12 + 0.3y = -0.5 + 0.10y Solving -1.12 + 0.3y = -0.5 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -1.12 + 0.3y + -0.10y = -0.5 + 0.10y + -0.10y Combine like terms: 0.3y + -0.10y = 0.2y -1.12 + 0.2y = -0.5 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -1.12 + 0.2y = -0.5 + 0.00 -1.12 + 0.2y = -0.5 Add '1.12' to each side of the equation. -1.12 + 1.12 + 0.2y = -0.5 + 1.12 Combine like terms: -1.12 + 1.12 = 0.00 0.00 + 0.2y = -0.5 + 1.12 0.2y = -0.5 + 1.12 Combine like terms: -0.5 + 1.12 = 0.62 0.2y = 0.62 Divide each side by '0.2'. y = 3.1 Simplifying y = 3.1
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