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Simplifying 4(3y + -5) + -2 = 5(4y + -4) + -6 Reorder the terms: 4(-5 + 3y) + -2 = 5(4y + -4) + -6 (-5 * 4 + 3y * 4) + -2 = 5(4y + -4) + -6 (-20 + 12y) + -2 = 5(4y + -4) + -6 Reorder the terms: -20 + -2 + 12y = 5(4y + -4) + -6 Combine like terms: -20 + -2 = -22 -22 + 12y = 5(4y + -4) + -6 Reorder the terms: -22 + 12y = 5(-4 + 4y) + -6 -22 + 12y = (-4 * 5 + 4y * 5) + -6 -22 + 12y = (-20 + 20y) + -6 Reorder the terms: -22 + 12y = -20 + -6 + 20y Combine like terms: -20 + -6 = -26 -22 + 12y = -26 + 20y Solving -22 + 12y = -26 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -22 + 12y + -20y = -26 + 20y + -20y Combine like terms: 12y + -20y = -8y -22 + -8y = -26 + 20y + -20y Combine like terms: 20y + -20y = 0 -22 + -8y = -26 + 0 -22 + -8y = -26 Add '22' to each side of the equation. -22 + 22 + -8y = -26 + 22 Combine like terms: -22 + 22 = 0 0 + -8y = -26 + 22 -8y = -26 + 22 Combine like terms: -26 + 22 = -4 -8y = -4 Divide each side by '-8'. y = 0.5 Simplifying y = 0.5
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