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Simplifying 0.7(6y + -5) = 0.4(y + -3) + -1.16 Reorder the terms: 0.7(-5 + 6y) = 0.4(y + -3) + -1.16 (-5 * 0.7 + 6y * 0.7) = 0.4(y + -3) + -1.16 (-3.5 + 4.2y) = 0.4(y + -3) + -1.16 Reorder the terms: -3.5 + 4.2y = 0.4(-3 + y) + -1.16 -3.5 + 4.2y = (-3 * 0.4 + y * 0.4) + -1.16 -3.5 + 4.2y = (-1.2 + 0.4y) + -1.16 Reorder the terms: -3.5 + 4.2y = -1.2 + -1.16 + 0.4y Combine like terms: -1.2 + -1.16 = -2.36 -3.5 + 4.2y = -2.36 + 0.4y Solving -3.5 + 4.2y = -2.36 + 0.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.4y' to each side of the equation. -3.5 + 4.2y + -0.4y = -2.36 + 0.4y + -0.4y Combine like terms: 4.2y + -0.4y = 3.8y -3.5 + 3.8y = -2.36 + 0.4y + -0.4y Combine like terms: 0.4y + -0.4y = 0.0 -3.5 + 3.8y = -2.36 + 0.0 -3.5 + 3.8y = -2.36 Add '3.5' to each side of the equation. -3.5 + 3.5 + 3.8y = -2.36 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 3.8y = -2.36 + 3.5 3.8y = -2.36 + 3.5 Combine like terms: -2.36 + 3.5 = 1.14 3.8y = 1.14 Divide each side by '3.8'. y = 0.3 Simplifying y = 0.3
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