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Simplifying -4y + -4(-5y + 3) = -9 + 7(3 + -1y) Reorder the terms: -4y + -4(3 + -5y) = -9 + 7(3 + -1y) -4y + (3 * -4 + -5y * -4) = -9 + 7(3 + -1y) -4y + (-12 + 20y) = -9 + 7(3 + -1y) Reorder the terms: -12 + -4y + 20y = -9 + 7(3 + -1y) Combine like terms: -4y + 20y = 16y -12 + 16y = -9 + 7(3 + -1y) -12 + 16y = -9 + (3 * 7 + -1y * 7) -12 + 16y = -9 + (21 + -7y) Combine like terms: -9 + 21 = 12 -12 + 16y = 12 + -7y Solving -12 + 16y = 12 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -12 + 16y + 7y = 12 + -7y + 7y Combine like terms: 16y + 7y = 23y -12 + 23y = 12 + -7y + 7y Combine like terms: -7y + 7y = 0 -12 + 23y = 12 + 0 -12 + 23y = 12 Add '12' to each side of the equation. -12 + 12 + 23y = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 23y = 12 + 12 23y = 12 + 12 Combine like terms: 12 + 12 = 24 23y = 24 Divide each side by '23'. y = 1.043478261 Simplifying y = 1.043478261
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