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Simplifying -2(3y + -8) + 4(5y + -3) = 130 Reorder the terms: -2(-8 + 3y) + 4(5y + -3) = 130 (-8 * -2 + 3y * -2) + 4(5y + -3) = 130 (16 + -6y) + 4(5y + -3) = 130 Reorder the terms: 16 + -6y + 4(-3 + 5y) = 130 16 + -6y + (-3 * 4 + 5y * 4) = 130 16 + -6y + (-12 + 20y) = 130 Reorder the terms: 16 + -12 + -6y + 20y = 130 Combine like terms: 16 + -12 = 4 4 + -6y + 20y = 130 Combine like terms: -6y + 20y = 14y 4 + 14y = 130 Solving 4 + 14y = 130 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 14y = 130 + -4 Combine like terms: 4 + -4 = 0 0 + 14y = 130 + -4 14y = 130 + -4 Combine like terms: 130 + -4 = 126 14y = 126 Divide each side by '14'. y = 9 Simplifying y = 9
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