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Simplifying 0.14(y + -7) + 0.12y = 0.20y + -0.05(10) Reorder the terms: 0.14(-7 + y) + 0.12y = 0.20y + -0.05(10) (-7 * 0.14 + y * 0.14) + 0.12y = 0.20y + -0.05(10) (-0.98 + 0.14y) + 0.12y = 0.20y + -0.05(10) Combine like terms: 0.14y + 0.12y = 0.26y -0.98 + 0.26y = 0.20y + -0.05(10) Multiply -0.05 * 10 -0.98 + 0.26y = 0.20y + -0.5 Reorder the terms: -0.98 + 0.26y = -0.5 + 0.20y Solving -0.98 + 0.26y = -0.5 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -0.98 + 0.26y + -0.20y = -0.5 + 0.20y + -0.20y Combine like terms: 0.26y + -0.20y = 0.06y -0.98 + 0.06y = -0.5 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.98 + 0.06y = -0.5 + 0.00 -0.98 + 0.06y = -0.5 Add '0.98' to each side of the equation. -0.98 + 0.98 + 0.06y = -0.5 + 0.98 Combine like terms: -0.98 + 0.98 = 0.00 0.00 + 0.06y = -0.5 + 0.98 0.06y = -0.5 + 0.98 Combine like terms: -0.5 + 0.98 = 0.48 0.06y = 0.48 Divide each side by '0.06'. y = 8 Simplifying y = 8
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