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Simplifying 0.14(y + -7) + 0.12y = 0.10y + -0.7 Reorder the terms: 0.14(-7 + y) + 0.12y = 0.10y + -0.7 (-7 * 0.14 + y * 0.14) + 0.12y = 0.10y + -0.7 (-0.98 + 0.14y) + 0.12y = 0.10y + -0.7 Combine like terms: 0.14y + 0.12y = 0.26y -0.98 + 0.26y = 0.10y + -0.7 Reorder the terms: -0.98 + 0.26y = -0.7 + 0.10y Solving -0.98 + 0.26y = -0.7 + 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. -0.98 + 0.26y + -0.10y = -0.7 + 0.10y + -0.10y Combine like terms: 0.26y + -0.10y = 0.16y -0.98 + 0.16y = -0.7 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.98 + 0.16y = -0.7 + 0.00 -0.98 + 0.16y = -0.7 Add '0.98' to each side of the equation. -0.98 + 0.98 + 0.16y = -0.7 + 0.98 Combine like terms: -0.98 + 0.98 = 0.00 0.00 + 0.16y = -0.7 + 0.98 0.16y = -0.7 + 0.98 Combine like terms: -0.7 + 0.98 = 0.28 0.16y = 0.28 Divide each side by '0.16'. y = 1.75 Simplifying y = 1.75
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