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Simplifying -5 + -1(9y + 7) + -1y = 1.4(4 + -12y) Reorder the terms: -5 + -1(7 + 9y) + -1y = 1.4(4 + -12y) -5 + (7 * -1 + 9y * -1) + -1y = 1.4(4 + -12y) -5 + (-7 + -9y) + -1y = 1.4(4 + -12y) Combine like terms: -5 + -7 = -12 -12 + -9y + -1y = 1.4(4 + -12y) Combine like terms: -9y + -1y = -10y -12 + -10y = 1.4(4 + -12y) -12 + -10y = (4 * 1.4 + -12y * 1.4) -12 + -10y = (5.6 + -16.8y) Solving -12 + -10y = 5.6 + -16.8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16.8y' to each side of the equation. -12 + -10y + 16.8y = 5.6 + -16.8y + 16.8y Combine like terms: -10y + 16.8y = 6.8y -12 + 6.8y = 5.6 + -16.8y + 16.8y Combine like terms: -16.8y + 16.8y = 0.0 -12 + 6.8y = 5.6 + 0.0 -12 + 6.8y = 5.6 Add '12' to each side of the equation. -12 + 12 + 6.8y = 5.6 + 12 Combine like terms: -12 + 12 = 0 0 + 6.8y = 5.6 + 12 6.8y = 5.6 + 12 Combine like terms: 5.6 + 12 = 17.6 6.8y = 17.6 Divide each side by '6.8'. y = 2.588235294 Simplifying y = 2.588235294
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