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Simplifying -6 + (-3y + 1) = -5(-4y + -6) + -1 Reorder the terms: -6 + (1 + -3y) = -5(-4y + -6) + -1 Remove parenthesis around (1 + -3y) -6 + 1 + -3y = -5(-4y + -6) + -1 Combine like terms: -6 + 1 = -5 -5 + -3y = -5(-4y + -6) + -1 Reorder the terms: -5 + -3y = -5(-6 + -4y) + -1 -5 + -3y = (-6 * -5 + -4y * -5) + -1 -5 + -3y = (30 + 20y) + -1 Reorder the terms: -5 + -3y = 30 + -1 + 20y Combine like terms: 30 + -1 = 29 -5 + -3y = 29 + 20y Solving -5 + -3y = 29 + 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. -5 + -3y + -20y = 29 + 20y + -20y Combine like terms: -3y + -20y = -23y -5 + -23y = 29 + 20y + -20y Combine like terms: 20y + -20y = 0 -5 + -23y = 29 + 0 -5 + -23y = 29 Add '5' to each side of the equation. -5 + 5 + -23y = 29 + 5 Combine like terms: -5 + 5 = 0 0 + -23y = 29 + 5 -23y = 29 + 5 Combine like terms: 29 + 5 = 34 -23y = 34 Divide each side by '-23'. y = -1.47826087 Simplifying y = -1.47826087
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