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Simplifying -58 + 17y + 7 = 4(5y + -5) + -4 Reorder the terms: -58 + 7 + 17y = 4(5y + -5) + -4 Combine like terms: -58 + 7 = -51 -51 + 17y = 4(5y + -5) + -4 Reorder the terms: -51 + 17y = 4(-5 + 5y) + -4 -51 + 17y = (-5 * 4 + 5y * 4) + -4 -51 + 17y = (-20 + 20y) + -4 Reorder the terms: -51 + 17y = -20 + -4 + 20y Combine like terms: -20 + -4 = -24 -51 + 17y = -24 + 20y Solving -51 + 17y = -24 + 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. -51 + 17y + -20y = -24 + 20y + -20y Combine like terms: 17y + -20y = -3y -51 + -3y = -24 + 20y + -20y Combine like terms: 20y + -20y = 0 -51 + -3y = -24 + 0 -51 + -3y = -24 Add '51' to each side of the equation. -51 + 51 + -3y = -24 + 51 Combine like terms: -51 + 51 = 0 0 + -3y = -24 + 51 -3y = -24 + 51 Combine like terms: -24 + 51 = 27 -3y = 27 Divide each side by '-3'. y = -9 Simplifying y = -9
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