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Simplifying -53 + 11y + 2 = 5(3y + -3) + -4 Reorder the terms: -53 + 2 + 11y = 5(3y + -3) + -4 Combine like terms: -53 + 2 = -51 -51 + 11y = 5(3y + -3) + -4 Reorder the terms: -51 + 11y = 5(-3 + 3y) + -4 -51 + 11y = (-3 * 5 + 3y * 5) + -4 -51 + 11y = (-15 + 15y) + -4 Reorder the terms: -51 + 11y = -15 + -4 + 15y Combine like terms: -15 + -4 = -19 -51 + 11y = -19 + 15y Solving -51 + 11y = -19 + 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 = -19 + 15y + -15y Combine like terms: 11y + -15y = -4y -51 + -4y = -19 + 15y + -15y Combine like terms: 15y + -15y = 0 -51 + -4y = -19 + 0 -51 + -4y = -19 Add '51' to each side of the equation. -51 + 51 + -4y = -19 + 51 Combine like terms: -51 + 51 = 0 0 + -4y = -19 + 51 -4y = -19 + 51 Combine like terms: -19 + 51 = 32 -4y = 32 Divide each side by '-4'. y = -8 Simplifying y = -8
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