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Simplifying 0.14(y + -7) + 0.10 = 0.04y + -0.7 Reorder the terms: 0.14(-7 + y) + 0.10 = 0.04y + -0.7 (-7 * 0.14 + y * 0.14) + 0.10 = 0.04y + -0.7 (-0.98 + 0.14y) + 0.10 = 0.04y + -0.7 Reorder the terms: -0.98 + 0.10 + 0.14y = 0.04y + -0.7 Combine like terms: -0.98 + 0.10 = -0.88 -0.88 + 0.14y = 0.04y + -0.7 Reorder the terms: -0.88 + 0.14y = -0.7 + 0.04y Solving -0.88 + 0.14y = -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. -0.88 + 0.14y + -0.04y = -0.7 + 0.04y + -0.04y Combine like terms: 0.14y + -0.04y = 0.1y -0.88 + 0.1y = -0.7 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.88 + 0.1y = -0.7 + 0.00 -0.88 + 0.1y = -0.7 Add '0.88' to each side of the equation. -0.88 + 0.88 + 0.1y = -0.7 + 0.88 Combine like terms: -0.88 + 0.88 = 0.00 0.00 + 0.1y = -0.7 + 0.88 0.1y = -0.7 + 0.88 Combine like terms: -0.7 + 0.88 = 0.18 0.1y = 0.18 Divide each side by '0.1'. y = 1.8 Simplifying y = 1.8
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