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Simplifying y + 1.4y + -4.6 = 2(y + -1.7) Reorder the terms: -4.6 + y + 1.4y = 2(y + -1.7) Combine like terms: y + 1.4y = 2.4y -4.6 + 2.4y = 2(y + -1.7) Reorder the terms: -4.6 + 2.4y = 2(-1.7 + y) -4.6 + 2.4y = (-1.7 * 2 + y * 2) -4.6 + 2.4y = (-3.4 + 2y) Solving -4.6 + 2.4y = -3.4 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -4.6 + 2.4y + -2y = -3.4 + 2y + -2y Combine like terms: 2.4y + -2y = 0.4y -4.6 + 0.4y = -3.4 + 2y + -2y Combine like terms: 2y + -2y = 0 -4.6 + 0.4y = -3.4 + 0 -4.6 + 0.4y = -3.4 Add '4.6' to each side of the equation. -4.6 + 4.6 + 0.4y = -3.4 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + 0.4y = -3.4 + 4.6 0.4y = -3.4 + 4.6 Combine like terms: -3.4 + 4.6 = 1.2 0.4y = 1.2 Divide each side by '0.4'. y = 3 Simplifying y = 3
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