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Simplifying -62 + 3y + 7 = 3(3y + -3) + -4 Reorder the terms: -62 + 7 + 3y = 3(3y + -3) + -4 Combine like terms: -62 + 7 = -55 -55 + 3y = 3(3y + -3) + -4 Reorder the terms: -55 + 3y = 3(-3 + 3y) + -4 -55 + 3y = (-3 * 3 + 3y * 3) + -4 -55 + 3y = (-9 + 9y) + -4 Reorder the terms: -55 + 3y = -9 + -4 + 9y Combine like terms: -9 + -4 = -13 -55 + 3y = -13 + 9y Solving -55 + 3y = -13 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -55 + 3y + -9y = -13 + 9y + -9y Combine like terms: 3y + -9y = -6y -55 + -6y = -13 + 9y + -9y Combine like terms: 9y + -9y = 0 -55 + -6y = -13 + 0 -55 + -6y = -13 Add '55' to each side of the equation. -55 + 55 + -6y = -13 + 55 Combine like terms: -55 + 55 = 0 0 + -6y = -13 + 55 -6y = -13 + 55 Combine like terms: -13 + 55 = 42 -6y = 42 Divide each side by '-6'. y = -7 Simplifying y = -7
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