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Simplifying 0.593 + -0.14(2.1y + -3.15) = 0.26(2.9y + -6.1) Reorder the terms: 0.593 + -0.14(-3.15 + 2.1y) = 0.26(2.9y + -6.1) 0.593 + (-3.15 * -0.14 + 2.1y * -0.14) = 0.26(2.9y + -6.1) 0.593 + (0.441 + -0.294y) = 0.26(2.9y + -6.1) Combine like terms: 0.593 + 0.441 = 1.034 1.034 + -0.294y = 0.26(2.9y + -6.1) Reorder the terms: 1.034 + -0.294y = 0.26(-6.1 + 2.9y) 1.034 + -0.294y = (-6.1 * 0.26 + 2.9y * 0.26) 1.034 + -0.294y = (-1.586 + 0.754y) Solving 1.034 + -0.294y = -1.586 + 0.754y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.754y' to each side of the equation. 1.034 + -0.294y + -0.754y = -1.586 + 0.754y + -0.754y Combine like terms: -0.294y + -0.754y = -1.048y 1.034 + -1.048y = -1.586 + 0.754y + -0.754y Combine like terms: 0.754y + -0.754y = 0.000 1.034 + -1.048y = -1.586 + 0.000 1.034 + -1.048y = -1.586 Add '-1.034' to each side of the equation. 1.034 + -1.034 + -1.048y = -1.586 + -1.034 Combine like terms: 1.034 + -1.034 = 0.000 0.000 + -1.048y = -1.586 + -1.034 -1.048y = -1.586 + -1.034 Combine like terms: -1.586 + -1.034 = -2.62 -1.048y = -2.62 Divide each side by '-1.048'. y = 2.5 Simplifying y = 2.5
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