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Simplifying -15 + 4(2 + -5y) = 7(y + -4) + 4 -15 + (2 * 4 + -5y * 4) = 7(y + -4) + 4 -15 + (8 + -20y) = 7(y + -4) + 4 Combine like terms: -15 + 8 = -7 -7 + -20y = 7(y + -4) + 4 Reorder the terms: -7 + -20y = 7(-4 + y) + 4 -7 + -20y = (-4 * 7 + y * 7) + 4 -7 + -20y = (-28 + 7y) + 4 Reorder the terms: -7 + -20y = -28 + 4 + 7y Combine like terms: -28 + 4 = -24 -7 + -20y = -24 + 7y Solving -7 + -20y = -24 + 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. -7 + -20y + -7y = -24 + 7y + -7y Combine like terms: -20y + -7y = -27y -7 + -27y = -24 + 7y + -7y Combine like terms: 7y + -7y = 0 -7 + -27y = -24 + 0 -7 + -27y = -24 Add '7' to each side of the equation. -7 + 7 + -27y = -24 + 7 Combine like terms: -7 + 7 = 0 0 + -27y = -24 + 7 -27y = -24 + 7 Combine like terms: -24 + 7 = -17 -27y = -17 Divide each side by '-27'. y = 0.6296296296 Simplifying y = 0.6296296296
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