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Simplifying 4(-5y + 4) + (-7)(-3 + 1) = 0 Reorder the terms: 4(4 + -5y) + (-7)(-3 + 1) = 0 (4 * 4 + -5y * 4) + (-7)(-3 + 1) = 0 (16 + -20y) + (-7)(-3 + 1) = 0 Combine like terms: -3 + 1 = -2 16 + -20y + -7(-2) = 0 Multiply -7 * -2 16 + -20y + 14 = 0 Reorder the terms: 16 + 14 + -20y = 0 Combine like terms: 16 + 14 = 30 30 + -20y = 0 Solving 30 + -20y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -20y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -20y = 0 + -30 -20y = 0 + -30 Combine like terms: 0 + -30 = -30 -20y = -30 Divide each side by '-20'. y = 1.5 Simplifying y = 1.5
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