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Simplifying -58 + 11y + 7 = 5(3y + -4) + -3 Reorder the terms: -58 + 7 + 11y = 5(3y + -4) + -3 Combine like terms: -58 + 7 = -51 -51 + 11y = 5(3y + -4) + -3 Reorder the terms: -51 + 11y = 5(-4 + 3y) + -3 -51 + 11y = (-4 * 5 + 3y * 5) + -3 -51 + 11y = (-20 + 15y) + -3 Reorder the terms: -51 + 11y = -20 + -3 + 15y Combine like terms: -20 + -3 = -23 -51 + 11y = -23 + 15y Solving -51 + 11y = -23 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -51 + 11y + -15y = -23 + 15y + -15y Combine like terms: 11y + -15y = -4y -51 + -4y = -23 + 15y + -15y Combine like terms: 15y + -15y = 0 -51 + -4y = -23 + 0 -51 + -4y = -23 Add '51' to each side of the equation. -51 + 51 + -4y = -23 + 51 Combine like terms: -51 + 51 = 0 0 + -4y = -23 + 51 -4y = -23 + 51 Combine like terms: -23 + 51 = 28 -4y = 28 Divide each side by '-4'. y = -7 Simplifying y = -7
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