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Simplifying -53 + 17y + 8 = 4(5y + -5) + -7 Reorder the terms: -53 + 8 + 17y = 4(5y + -5) + -7 Combine like terms: -53 + 8 = -45 -45 + 17y = 4(5y + -5) + -7 Reorder the terms: -45 + 17y = 4(-5 + 5y) + -7 -45 + 17y = (-5 * 4 + 5y * 4) + -7 -45 + 17y = (-20 + 20y) + -7 Reorder the terms: -45 + 17y = -20 + -7 + 20y Combine like terms: -20 + -7 = -27 -45 + 17y = -27 + 20y Solving -45 + 17y = -27 + 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. -45 + 17y + -20y = -27 + 20y + -20y Combine like terms: 17y + -20y = -3y -45 + -3y = -27 + 20y + -20y Combine like terms: 20y + -20y = 0 -45 + -3y = -27 + 0 -45 + -3y = -27 Add '45' to each side of the equation. -45 + 45 + -3y = -27 + 45 Combine like terms: -45 + 45 = 0 0 + -3y = -27 + 45 -3y = -27 + 45 Combine like terms: -27 + 45 = 18 -3y = 18 Divide each side by '-3'. y = -6 Simplifying y = -6
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