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Simplifying 0.2(10y + -15) = 4(2y + -1) Reorder the terms: 0.2(-15 + 10y) = 4(2y + -1) (-15 * 0.2 + 10y * 0.2) = 4(2y + -1) (-3 + 2y) = 4(2y + -1) Reorder the terms: -3 + 2y = 4(-1 + 2y) -3 + 2y = (-1 * 4 + 2y * 4) -3 + 2y = (-4 + 8y) Solving -3 + 2y = -4 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -3 + 2y + -8y = -4 + 8y + -8y Combine like terms: 2y + -8y = -6y -3 + -6y = -4 + 8y + -8y Combine like terms: 8y + -8y = 0 -3 + -6y = -4 + 0 -3 + -6y = -4 Add '3' to each side of the equation. -3 + 3 + -6y = -4 + 3 Combine like terms: -3 + 3 = 0 0 + -6y = -4 + 3 -6y = -4 + 3 Combine like terms: -4 + 3 = -1 -6y = -1 Divide each side by '-6'. y = 0.1666666667 Simplifying y = 0.1666666667
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