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Simplifying 3(5y + -2) + -5(y + 3) = 0.6 + -1y Reorder the terms: 3(-2 + 5y) + -5(y + 3) = 0.6 + -1y (-2 * 3 + 5y * 3) + -5(y + 3) = 0.6 + -1y (-6 + 15y) + -5(y + 3) = 0.6 + -1y Reorder the terms: -6 + 15y + -5(3 + y) = 0.6 + -1y -6 + 15y + (3 * -5 + y * -5) = 0.6 + -1y -6 + 15y + (-15 + -5y) = 0.6 + -1y Reorder the terms: -6 + -15 + 15y + -5y = 0.6 + -1y Combine like terms: -6 + -15 = -21 -21 + 15y + -5y = 0.6 + -1y Combine like terms: 15y + -5y = 10y -21 + 10y = 0.6 + -1y Solving -21 + 10y = 0.6 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -21 + 10y + y = 0.6 + -1y + y Combine like terms: 10y + y = 11y -21 + 11y = 0.6 + -1y + y Combine like terms: -1y + y = 0 -21 + 11y = 0.6 + 0 -21 + 11y = 0.6 Add '21' to each side of the equation. -21 + 21 + 11y = 0.6 + 21 Combine like terms: -21 + 21 = 0 0 + 11y = 0.6 + 21 11y = 0.6 + 21 Combine like terms: 0.6 + 21 = 21.6 11y = 21.6 Divide each side by '11'. y = 1.963636364 Simplifying y = 1.963636364
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