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Simplifying 7(y + -3) + -2(4y + 8) = 0 Reorder the terms: 7(-3 + y) + -2(4y + 8) = 0 (-3 * 7 + y * 7) + -2(4y + 8) = 0 (-21 + 7y) + -2(4y + 8) = 0 Reorder the terms: -21 + 7y + -2(8 + 4y) = 0 -21 + 7y + (8 * -2 + 4y * -2) = 0 -21 + 7y + (-16 + -8y) = 0 Reorder the terms: -21 + -16 + 7y + -8y = 0 Combine like terms: -21 + -16 = -37 -37 + 7y + -8y = 0 Combine like terms: 7y + -8y = -1y -37 + -1y = 0 Solving -37 + -1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + -1y = 0 + 37 Combine like terms: -37 + 37 = 0 0 + -1y = 0 + 37 -1y = 0 + 37 Combine like terms: 0 + 37 = 37 -1y = 37 Divide each side by '-1'. y = -37 Simplifying y = -37
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